library(readr)
cancer <- read_csv("C:/Users/batul/Desktop/MVA/LUNGCANCER2.csv")
## Rows: 309 Columns: 18
## ── Column specification ────────────────────────────────────────────────────────
## Delimiter: ","
## chr (1): LUNG_CANCER
## dbl (17): GENDER, AGE, SMOKING, YELLOW_FINGERS, ANXIETY, PEER_PRESSURE, CHRO...
##
## ℹ Use `spec()` to retrieve the full column specification for this data.
## ℹ Specify the column types or set `show_col_types = FALSE` to quiet this message.
str(cancer)
## spc_tbl_ [309 × 18] (S3: spec_tbl_df/tbl_df/tbl/data.frame)
## $ LUNG_CANCER : chr [1:309] "YES" "YES" "NO" "NO" ...
## $ GENDER : num [1:309] 1 1 2 1 2 2 1 2 2 1 ...
## $ AGE : num [1:309] 69 74 59 63 63 75 52 51 68 53 ...
## $ SMOKING : num [1:309] 1 2 1 2 1 1 2 2 2 2 ...
## $ YELLOW_FINGERS : num [1:309] 2 1 1 2 2 2 1 2 1 2 ...
## $ ANXIETY : num [1:309] 2 1 1 2 1 1 1 2 2 2 ...
## $ PEER_PRESSURE : num [1:309] 1 1 2 1 1 1 1 2 1 2 ...
## $ CHRONIC DISEASE : num [1:309] 1 2 1 1 1 2 1 1 1 2 ...
## $ FATIGUE : num [1:309] 2 2 2 1 1 2 2 2 2 1 ...
## $ ALLERGY : num [1:309] 1 2 1 1 1 2 1 2 1 2 ...
## $ WHEEZING : num [1:309] 2 1 2 1 2 2 2 1 1 1 ...
## $ ALCOHOL_CONSUMING : num [1:309] 2 1 1 2 1 1 2 1 1 2 ...
## $ COUGHING : num [1:309] 2 1 2 1 2 2 2 1 1 1 ...
## $ SHORTNESS OF BREATH : num [1:309] 2 2 2 1 2 2 2 2 1 1 ...
## $ SWALLOWING DIFFICULTY: num [1:309] 2 2 1 2 1 1 1 2 1 2 ...
## $ CHEST PAIN : num [1:309] 2 2 2 2 1 1 2 1 1 2 ...
## $ WEIGHT : num [1:309] 113 136 153 142 144 ...
## $ HEIGHT_INCH : num [1:309] 65.8 71.5 69.4 68.2 67.8 ...
## - attr(*, "spec")=
## .. cols(
## .. LUNG_CANCER = col_character(),
## .. GENDER = col_double(),
## .. AGE = col_double(),
## .. SMOKING = col_double(),
## .. YELLOW_FINGERS = col_double(),
## .. ANXIETY = col_double(),
## .. PEER_PRESSURE = col_double(),
## .. `CHRONIC DISEASE` = col_double(),
## .. FATIGUE = col_double(),
## .. ALLERGY = col_double(),
## .. WHEEZING = col_double(),
## .. ALCOHOL_CONSUMING = col_double(),
## .. COUGHING = col_double(),
## .. `SHORTNESS OF BREATH` = col_double(),
## .. `SWALLOWING DIFFICULTY` = col_double(),
## .. `CHEST PAIN` = col_double(),
## .. WEIGHT = col_double(),
## .. HEIGHT_INCH = col_double()
## .. )
## - attr(*, "problems")=<externalptr>
attach(cancer)
# Checking if there are null values in the dataset
any(is.na(cancer))
## [1] FALSE
# Splitting data depending on the people diagnosed with lung cancer and Not diagnosed with lung cancer
split_list = split(cancer, f = factor(cancer$LUNG_CANCER))
No_Cancer = split_list[[1]]
Yes_Cancer = split_list[[2]]
# Dropping the first column
NCan = No_Cancer[,-1]
YCan=Yes_Cancer[,-1]
# Calculating the Mean of each column for People diagnosed with and without lung cancer
colMeans(NCan)
## GENDER AGE SMOKING
## 1.564103 60.743590 1.487179
## YELLOW_FINGERS ANXIETY PEER_PRESSURE
## 1.333333 1.307692 1.256410
## CHRONIC DISEASE FATIGUE ALLERGY
## 1.358974 1.487179 1.128205
## WHEEZING ALCOHOL_CONSUMING COUGHING
## 1.230769 1.179487 1.256410
## SHORTNESS OF BREATH SWALLOWING DIFFICULTY CHEST PAIN
## 1.564103 1.128205 1.307692
## WEIGHT HEIGHT_INCH
## 126.022413 67.840905
colMeans(YCan)
## GENDER AGE SMOKING
## 1.462963 62.951852 1.574074
## YELLOW_FINGERS ANXIETY PEER_PRESSURE
## 1.603704 1.525926 1.537037
## CHRONIC DISEASE FATIGUE ALLERGY
## 1.525926 1.700000 1.618519
## WHEEZING ALCOHOL_CONSUMING COUGHING
## 1.603704 1.611111 1.625926
## SHORTNESS OF BREATH SWALLOWING DIFFICULTY CHEST PAIN
## 1.651852 1.518519 1.592593
## WEIGHT HEIGHT_INCH
## 126.838366 67.948575
# Calculating the Covariance of each column for People diagnosed with and without lung cancer
NC_cov = cov(NCan, y=NULL, method = "pearson")
NC_cov
## GENDER AGE SMOKING YELLOW_FINGERS
## GENDER 0.25236167 0.04318489 -0.0188933873 -8.771930e-03
## AGE 0.04318489 92.72199730 -0.4770580297 -1.017544e+00
## SMOKING -0.01889339 -0.47705803 0.2564102564 -8.771930e-03
## YELLOW_FINGERS -0.00877193 -1.01754386 -0.0087719298 2.280702e-01
## ANXIETY -0.07287449 -0.20850202 -0.0222672065 5.263158e-02
## PEER_PRESSURE -0.06950067 0.56747638 -0.0229419703 -3.508772e-02
## CHRONIC DISEASE 0.05533063 -0.19500675 -0.0479082321 -7.017544e-02
## FATIGUE 0.08636977 0.23346829 -0.0067476383 -1.403509e-01
## ALLERGY -0.02159244 -0.93994602 0.0674763833 -4.385965e-02
## WHEEZING -0.02834008 0.37651822 -0.0627530364 -2.496518e-21
## ALCOHOL_CONSUMING -0.10391363 0.38933873 -0.0107962213 -8.771930e-03
## COUGHING -0.01686910 0.48852901 -0.0492577598 4.385965e-02
## SHORTNESS OF BREATH 0.09446694 -0.06207827 -0.0452091768 -6.140351e-02
## SWALLOWING DIFFICULTY -0.04790823 -0.62415655 -0.0114709852 6.140351e-02
## CHEST PAIN -0.12550607 -0.34008097 0.0303643725 2.631579e-02
## WEIGHT -0.11867047 8.60870607 -1.8616220648 8.314850e-01
## HEIGHT_INCH -0.08300706 -0.56136069 0.0008346761 2.831242e-01
## ANXIETY PEER_PRESSURE CHRONIC DISEASE FATIGUE
## GENDER -0.072874494 -0.069500675 0.055330634 0.086369771
## AGE -0.208502024 0.567476383 -0.195006748 0.233468286
## SMOKING -0.022267206 -0.022941970 -0.047908232 -0.006747638
## YELLOW_FINGERS 0.052631579 -0.035087719 -0.070175439 -0.140350877
## ANXIETY 0.218623482 -0.002024291 -0.034412955 -0.074898785
## PEER_PRESSURE -0.002024291 0.195681511 0.010796221 -0.049257760
## CHRONIC DISEASE -0.034412955 0.010796221 0.236167341 0.031039136
## FATIGUE -0.074898785 -0.049257760 0.031039136 0.256410256
## ALLERGY -0.040485830 -0.033738192 0.005398111 0.014844804
## WHEEZING -0.072874494 0.018218623 -0.058704453 -0.010121457
## ALCOHOL_CONSUMING 0.048582996 0.031713900 0.012820513 -0.063427800
## COUGHING -0.028340081 0.011470985 -0.094466937 -0.049257760
## SHORTNESS OF BREATH -0.151821862 -0.043184885 0.029014845 0.139001350
## SWALLOWING DIFFICULTY 0.064777328 -0.033738192 -0.020917679 -0.064102564
## CHEST PAIN -0.018218623 0.050607287 -0.087044534 -0.048582996
## WEIGHT -0.377730445 1.331191296 1.293040182 -1.013774696
## HEIGHT_INCH -0.037506700 0.086397794 -0.052091721 -0.239720061
## ALLERGY WHEEZING ALCOHOL_CONSUMING COUGHING
## GENDER -0.021592443 -2.834008e-02 -0.103913630 -0.016869096
## AGE -0.939946019 3.765182e-01 0.389338731 0.488529015
## SMOKING 0.067476383 -6.275304e-02 -0.010796221 -0.049257760
## YELLOW_FINGERS -0.043859649 -2.496518e-21 -0.008771930 0.043859649
## ANXIETY -0.040485830 -7.287449e-02 0.048582996 -0.028340081
## PEER_PRESSURE -0.033738192 1.821862e-02 0.031713900 0.011470985
## CHRONIC DISEASE 0.005398111 -5.870445e-02 0.012820513 -0.094466937
## FATIGUE 0.014844804 -1.012146e-02 -0.063427800 -0.049257760
## ALLERGY 0.114709852 2.226721e-02 0.029014845 0.018893387
## WHEEZING 0.022267206 1.821862e-01 0.036437247 0.123481781
## ALCOHOL_CONSUMING 0.029014845 3.643725e-02 0.151147099 0.031713900
## COUGHING 0.018893387 1.234818e-01 0.031713900 0.195681511
## SHORTNESS OF BREATH 0.004723347 5.060729e-02 -0.077597841 0.009446694
## SWALLOWING DIFFICULTY -0.016869096 -4.048583e-03 0.002699055 -0.033738192
## CHEST PAIN 0.038461538 5.870445e-02 0.022267206 0.024291498
## WEIGHT -1.441954089 -7.620952e-01 -0.742439251 0.361533401
## HEIGHT_INCH -0.063099656 -5.507328e-03 -0.131474413 0.003802530
## SHORTNESS OF BREATH SWALLOWING DIFFICULTY CHEST PAIN
## GENDER 0.094466937 -0.047908232 -0.12550607
## AGE -0.062078273 -0.624156545 -0.34008097
## SMOKING -0.045209177 -0.011470985 0.03036437
## YELLOW_FINGERS -0.061403509 0.061403509 0.02631579
## ANXIETY -0.151821862 0.064777328 -0.01821862
## PEER_PRESSURE -0.043184885 -0.033738192 0.05060729
## CHRONIC DISEASE 0.029014845 -0.020917679 -0.08704453
## FATIGUE 0.139001350 -0.064102564 -0.04858300
## ALLERGY 0.004723347 -0.016869096 0.03846154
## WHEEZING 0.050607287 -0.004048583 0.05870445
## ALCOHOL_CONSUMING -0.077597841 0.002699055 0.02226721
## COUGHING 0.009446694 -0.033738192 0.02429150
## SHORTNESS OF BREATH 0.252361673 -0.021592443 -0.07287449
## SWALLOWING DIFFICULTY -0.021592443 0.114709852 0.03846154
## CHEST PAIN -0.072874494 0.038461538 0.21862348
## WEIGHT 0.234321640 0.642771964 1.25047219
## HEIGHT_INCH -0.119816802 0.101810607 0.29252462
## WEIGHT HEIGHT_INCH
## GENDER -0.1186705 -0.0830070648
## AGE 8.6087061 -0.5613606883
## SMOKING -1.8616221 0.0008346761
## YELLOW_FINGERS 0.8314850 0.2831242105
## ANXIETY -0.3777304 -0.0375067004
## PEER_PRESSURE 1.3311913 0.0863977935
## CHRONIC DISEASE 1.2930402 -0.0520917206
## FATIGUE -1.0137747 -0.2397200607
## ALLERGY -1.4419541 -0.0630996559
## WHEEZING -0.7620952 -0.0055073279
## ALCOHOL_CONSUMING -0.7424393 -0.1314744130
## COUGHING 0.3615334 0.0038025304
## SHORTNESS OF BREATH 0.2343216 -0.1198168016
## SWALLOWING DIFFICULTY 0.6427720 0.1018106073
## CHEST PAIN 1.2504722 0.2925246154
## WEIGHT 241.1258039 14.4006850789
## HEIGHT_INCH 14.4006851 3.9074716169
YC_cov = cov(YCan, y=NULL, method = "pearson")
YC_cov
## GENDER AGE SMOKING YELLOW_FINGERS
## GENDER 0.249552527 -0.07799807 -0.006539997 0.065193446
## AGE -0.077998072 63.46607462 -0.351438799 0.092372298
## SMOKING -0.006539997 -0.35143880 0.245422002 -0.005851576
## YELLOW_FINGERS 0.065193446 0.09237230 -0.005851576 0.240134930
## ANXIETY 0.056725871 0.21872504 0.046399559 0.146000275
## PEER_PRESSURE 0.092454908 -0.07070081 -0.012047363 0.087222911
## CHRONIC DISEASE 0.053008399 -0.07867272 -0.035384827 0.015888751
## FATIGUE 0.013011152 -0.03680297 -0.009293680 -0.018959108
## ALLERGY -0.034627564 0.12654550 -0.014387994 -0.051369957
## WHEEZING -0.031460829 0.09980724 -0.031873881 -0.034958006
## ALCOHOL_CONSUMING -0.109252375 0.10016522 -0.017554729 -0.095208591
## COUGHING -0.030634724 0.61760980 -0.033526091 -0.022401212
## SHORTNESS OF BREATH 0.005645050 -0.09489192 0.022167149 -0.023241085
## SWALLOWING DIFFICULTY 0.034145670 -0.02698609 0.006058103 0.076139336
## CHEST PAIN -0.082059755 -0.11634311 0.026573041 -0.043095140
## WEIGHT -0.047533189 -4.65109152 -0.803828195 -0.140955443
## HEIGHT_INCH 0.077151769 -1.12060563 -0.086951251 0.072994955
## ANXIETY PEER_PRESSURE CHRONIC DISEASE FATIGUE
## GENDER 0.056725871 0.092454908 0.053008399 0.013011152
## AGE 0.218725045 -0.070700812 -0.078672725 -0.036802974
## SMOKING 0.046399559 -0.012047363 -0.035384827 -0.009293680
## YELLOW_FINGERS 0.146000275 0.087222911 0.015888751 -0.018959108
## ANXIETY 0.250254716 0.054798293 -0.002533388 -0.046096654
## PEER_PRESSURE 0.054798293 0.249552527 0.006471155 0.020446097
## CHRONIC DISEASE -0.002533388 0.006471155 0.250254716 -0.038661710
## FATIGUE -0.046096654 0.020446097 -0.038661710 0.210780669
## ALLERGY -0.055128735 -0.036004406 0.019220708 -0.014498141
## WHEEZING -0.054743219 -0.035453669 -0.013851026 0.029368030
## ALCOHOL_CONSUMING -0.066088393 -0.065468815 -0.010326311 -0.053903346
## COUGHING -0.070191381 -0.039997246 -0.044169076 0.036059480
## SHORTNESS OF BREATH -0.020680160 -0.057689660 -0.013245215 0.092193309
## SWALLOWING DIFFICULTY 0.120335949 0.095965854 0.016246730 -0.037174721
## CHEST PAIN -0.037725458 -0.044334297 -0.004268209 -0.003717472
## WEIGHT -0.312690050 0.264830587 0.215515340 0.078117227
## HEIGHT_INCH 0.025450407 0.062675778 0.050430370 0.089662011
## ALLERGY WHEEZING ALCOHOL_CONSUMING COUGHING
## GENDER -0.03462756 -0.0314608289 -0.109252375 -0.030634724
## AGE 0.12654550 0.0998072422 0.100165221 0.617609803
## SMOKING -0.01438799 -0.0318738813 -0.017554729 -0.033526091
## YELLOW_FINGERS -0.05136996 -0.0349580063 -0.095208591 -0.022401212
## ANXIETY -0.05512873 -0.0547432191 -0.066088393 -0.070191381
## PEER_PRESSURE -0.03600441 -0.0354536693 -0.065468815 -0.039997246
## CHRONIC DISEASE 0.01922071 -0.0138510257 -0.010326311 -0.044169076
## FATIGUE -0.01449814 0.0293680297 -0.053903346 0.036059480
## ALLERGY 0.23683051 0.0229794851 0.066707972 0.027770894
## WHEEZING 0.02297949 0.2401349305 0.049772821 0.070535591
## ALCOHOL_CONSUMING 0.06670797 0.0497728211 0.238537794 0.032424618
## COUGHING 0.02777089 0.0705355914 0.032424618 0.235013080
## SHORTNESS OF BREATH -0.01434669 -0.0009362522 -0.042957456 0.070026160
## SWALLOWING DIFFICULTY -0.03937767 0.0017898940 -0.024370095 -0.058102712
## CHEST PAIN 0.04474735 0.0201018863 0.075175547 0.006884208
## WEIGHT 0.68835610 0.3666331070 -0.071185861 -0.137099969
## HEIGHT_INCH 0.06298473 0.0115764421 -0.004233707 -0.028255232
## SHORTNESS OF BREATH SWALLOWING DIFFICULTY CHEST PAIN
## GENDER 0.0056450503 0.0341456698 -0.0820597549
## AGE -0.0948919179 -0.0269860939 -0.1163431089
## SMOKING 0.0221671486 0.0060581027 0.0265730414
## YELLOW_FINGERS -0.0232410850 0.0761393364 -0.0430951397
## ANXIETY -0.0206801597 0.1203359493 -0.0377254578
## PEER_PRESSURE -0.0576896599 0.0959658543 -0.0443342971
## CHRONIC DISEASE -0.0132452155 0.0162467300 -0.0042682087
## FATIGUE 0.0921933086 -0.0371747212 -0.0037174721
## ALLERGY -0.0143466887 -0.0393776676 0.0447473496
## WHEEZING -0.0009362522 0.0017898940 0.0201018863
## ALCOHOL_CONSUMING -0.0429574556 -0.0243700950 0.0751755473
## COUGHING 0.0700261600 -0.0581027124 0.0068842076
## SHORTNESS OF BREATH 0.2277846620 -0.0455734545 0.0137684153
## SWALLOWING DIFFICULTY -0.0455734545 0.2505851576 0.0001376842
## CHEST PAIN 0.0137684153 0.0001376842 0.2423241085
## WEIGHT 0.0346854829 0.2201749401 0.2258873028
## HEIGHT_INCH -0.0338105689 0.0828150916 0.0639443426
## WEIGHT HEIGHT_INCH
## GENDER -0.04753319 0.077151769
## AGE -4.65109152 -1.120605628
## SMOKING -0.80382819 -0.086951251
## YELLOW_FINGERS -0.14095544 0.072994955
## ANXIETY -0.31269005 0.025450407
## PEER_PRESSURE 0.26483059 0.062675778
## CHRONIC DISEASE 0.21551534 0.050430370
## FATIGUE 0.07811723 0.089662011
## ALLERGY 0.68835610 0.062984731
## WHEEZING 0.36663311 0.011576442
## ALCOHOL_CONSUMING -0.07118586 -0.004233707
## COUGHING -0.13709997 -0.028255232
## SHORTNESS OF BREATH 0.03468548 -0.033810569
## SWALLOWING DIFFICULTY 0.22017494 0.082815092
## CHEST PAIN 0.22588730 0.063944343
## WEIGHT 132.52068523 11.065946698
## HEIGHT_INCH 11.06594670 3.699899104
# Calculating the Correlation of each column for People diagnosed with and without lung cancer
NC_corr = cor(NCan, y=NULL, method = "pearson")
NC_corr
## GENDER AGE SMOKING YELLOW_FINGERS
## GENDER 1.000000000 0.008927476 -0.0742729086 -3.656362e-02
## AGE 0.008927476 1.000000000 -0.0978390269 -2.212725e-01
## SMOKING -0.074272909 -0.097839027 1.0000000000 -3.627381e-02
## YELLOW_FINGERS -0.036563621 -0.221272529 -0.0362738125 1.000000e+00
## ANXIETY -0.310252614 -0.046309542 -0.0940480156 2.357023e-01
## PEER_PRESSURE -0.312753677 0.133223705 -0.1024207896 -1.660910e-01
## CHRONIC DISEASE 0.226643897 -0.041672382 -0.1946850165 -3.023716e-01
## FATIGUE 0.339533297 0.047881617 -0.0263157895 -5.803810e-01
## ALLERGY -0.126908209 -0.288211407 0.3934447377 -2.711631e-01
## WHEEZING -0.132169610 0.091608722 -0.2903416016 -1.224737e-20
## ALCOHOL_CONSUMING -0.532060368 0.104000712 -0.0548408497 -4.724556e-02
## COUGHING -0.075911087 0.114689610 -0.2199034601 2.076137e-01
## SHORTNESS OF BREATH 0.374331551 -0.012833246 -0.1777244600 -2.559453e-01
## SWALLOWING DIFFICULTY -0.281577590 -0.191382305 -0.0668856054 3.796283e-01
## CHEST PAIN -0.534323946 -0.075534010 0.1282472940 1.178511e-01
## WEIGHT -0.015212798 0.057573767 -0.2367565359 1.121239e-01
## HEIGHT_INCH -0.083590215 -0.029491896 0.0008338777 2.999127e-01
## ANXIETY PEER_PRESSURE CHRONIC DISEASE FATIGUE
## GENDER -0.310252614 -0.312753677 0.22664390 0.33953330
## AGE -0.046309542 0.133223705 -0.04167238 0.04788162
## SMOKING -0.094048016 -0.102420790 -0.19468502 -0.02631579
## YELLOW_FINGERS 0.235702260 -0.166090960 -0.30237158 -0.58038100
## ANXIETY 1.000000000 -0.009787004 -0.15144804 -0.31634333
## PEER_PRESSURE -0.009787004 1.000000000 0.05022119 -0.21990346
## CHRONIC DISEASE -0.151448037 0.050221186 1.00000000 0.12613395
## FATIGUE -0.316343325 -0.219903460 0.12613395 1.00000000
## ALLERGY -0.255654996 -0.225188675 0.03279680 0.08655784
## WHEEZING -0.365148372 0.096490128 -0.28301102 -0.04682929
## ALCOHOL_CONSUMING 0.267261242 0.184405916 0.06785714 -0.32218999
## COUGHING -0.137018051 0.058620690 -0.43943537 -0.21990346
## SHORTNESS OF BREATH -0.646359612 -0.194332382 0.11884985 0.54643640
## SWALLOWING DIFFICULTY 0.409047994 -0.225188675 -0.12708761 -0.37377250
## CHEST PAIN -0.083333333 0.244675091 -0.38307445 -0.20519567
## WEIGHT -0.052024959 0.193795518 0.17134848 -0.12892938
## HEIGHT_INCH -0.040580046 0.098805208 -0.05422641 -0.23949076
## ALLERGY WHEEZING ALCOHOL_CONSUMING COUGHING
## GENDER -0.12690821 -1.321696e-01 -0.53206037 -0.075911087
## AGE -0.28821141 9.160872e-02 0.10400071 0.114689610
## SMOKING 0.39344474 -2.903416e-01 -0.05484085 -0.219903460
## YELLOW_FINGERS -0.27116307 -1.224737e-20 -0.04724556 0.207613700
## ANXIETY -0.25565500 -3.651484e-01 0.26726124 -0.137018051
## PEER_PRESSURE -0.22518867 9.649013e-02 0.18440592 0.058620690
## CHRONIC DISEASE 0.03279680 -2.830110e-01 0.06785714 -0.439435374
## FATIGUE 0.08655784 -4.682929e-02 -0.32218999 -0.219903460
## ALLERGY 1.00000000 1.540308e-01 0.22035352 0.126105658
## WHEEZING 0.15403081 1.000000e+00 0.21957752 0.653988646
## ALCOHOL_CONSUMING 0.22035352 2.195775e-01 1.00000000 0.184405916
## COUGHING 0.12610566 6.539886e-01 0.18440592 1.000000000
## SHORTNESS OF BREATH 0.02776117 2.360172e-01 -0.39731781 0.042510209
## SWALLOWING DIFFICULTY -0.14705882 -2.800560e-02 0.02049800 -0.225188675
## CHEST PAIN 0.24287225 2.941473e-01 0.12249474 0.117444044
## WEIGHT -0.27417587 -1.149819e-01 -0.12298133 0.052632220
## HEIGHT_INCH -0.09424943 -6.527325e-03 -0.17107771 0.004348604
## SHORTNESS OF BREATH SWALLOWING DIFFICULTY CHEST PAIN
## GENDER 0.37433155 -0.28157759 -0.53432395
## AGE -0.01283325 -0.19138231 -0.07553401
## SMOKING -0.17772446 -0.06688561 0.12824729
## YELLOW_FINGERS -0.25594535 0.37962830 0.11785113
## ANXIETY -0.64635961 0.40904799 -0.08333333
## PEER_PRESSURE -0.19433238 -0.22518867 0.24467509
## CHRONIC DISEASE 0.11884985 -0.12708761 -0.38307445
## FATIGUE 0.54643640 -0.37377250 -0.20519567
## ALLERGY 0.02776117 -0.14705882 0.24287225
## WHEEZING 0.23601716 -0.02800560 0.29414730
## ALCOHOL_CONSUMING -0.39731781 0.02049800 0.12249474
## COUGHING 0.04251021 -0.22518867 0.11744404
## SHORTNESS OF BREATH 1.00000000 -0.12690821 -0.31025261
## SWALLOWING DIFFICULTY -0.12690821 1.00000000 0.24287225
## CHEST PAIN -0.31025261 0.24287225 1.00000000
## WEIGHT 0.03003854 0.12221787 0.17222801
## HEIGHT_INCH -0.12065855 0.15207042 0.31649445
## WEIGHT HEIGHT_INCH
## GENDER -0.01521280 -0.0835902149
## AGE 0.05757377 -0.0294918958
## SMOKING -0.23675654 0.0008338777
## YELLOW_FINGERS 0.11212393 0.2999126913
## ANXIETY -0.05202496 -0.0405800465
## PEER_PRESSURE 0.19379552 0.0988052083
## CHRONIC DISEASE 0.17134848 -0.0542264116
## FATIGUE -0.12892938 -0.2394907624
## ALLERGY -0.27417587 -0.0942494264
## WHEEZING -0.11498193 -0.0065273251
## ALCOHOL_CONSUMING -0.12298133 -0.1710777055
## COUGHING 0.05263222 0.0043486042
## SHORTNESS OF BREATH 0.03003854 -0.1206585514
## SWALLOWING DIFFICULTY 0.12221787 0.1520704227
## CHEST PAIN 0.17222801 0.3164944493
## WEIGHT 1.00000000 0.4691518064
## HEIGHT_INCH 0.46915181 1.0000000000
YC_corr = cor(YCan, y=NULL, method = "pearson")
YC_corr
## GENDER AGE SMOKING YELLOW_FINGERS
## GENDER 1.000000000 -0.019598917 -0.02642651 0.26631479
## AGE -0.019598917 1.000000000 -0.08904758 0.02366155
## SMOKING -0.026426511 -0.089047584 1.00000000 -0.02410396
## YELLOW_FINGERS 0.266314789 0.023661554 -0.02410396 1.00000000
## ANXIETY 0.226991216 0.054882838 0.18722592 0.59557282
## PEER_PRESSURE 0.370482759 -0.017765302 -0.04868042 0.35630500
## CHRONIC DISEASE 0.212115578 -0.019740686 -0.14278060 0.06481432
## FATIGUE 0.056730863 -0.010062287 -0.04086162 -0.08427036
## ALLERGY -0.142436776 0.032640521 -0.05967943 -0.21540844
## WHEEZING -0.128517274 0.025566046 -0.13129571 -0.14557652
## ALCOHOL_CONSUMING -0.447786815 0.025743497 -0.07255357 -0.39780467
## COUGHING -0.126498964 0.159917998 -0.13959831 -0.09429699
## SHORTNESS OF BREATH 0.023676886 -0.024957218 0.09375422 -0.09937256
## SWALLOWING DIFFICULTY 0.136545370 -0.006766928 0.02442880 0.31038716
## CHEST PAIN -0.333695937 -0.029666857 0.10896479 -0.17864971
## WEIGHT -0.008265595 -0.050715677 -0.14094986 -0.02498690
## HEIGHT_INCH 0.080291572 -0.073128563 -0.09124817 0.07744087
## ANXIETY PEER_PRESSURE CHRONIC DISEASE FATIGUE
## GENDER 0.22699122 0.37048276 0.21211558 0.05673086
## AGE 0.05488284 -0.01776530 -0.01974069 -0.01006229
## SMOKING 0.18722592 -0.04868042 -0.14278060 -0.04086162
## YELLOW_FINGERS 0.59557282 0.35630500 0.06481432 -0.08427036
## ANXIETY 1.00000000 0.21927792 -0.01012324 -0.20070717
## PEER_PRESSURE 0.21927792 1.00000000 0.02589463 0.08914850
## CHRONIC DISEASE -0.01012324 0.02589463 1.00000000 -0.16833504
## FATIGUE -0.20070717 0.08914850 -0.16833504 1.00000000
## ALLERGY -0.22644778 -0.14810027 0.07895132 -0.06489005
## WHEEZING -0.22331173 -0.14482800 -0.05650191 0.13053644
## ALCOHOL_CONSUMING -0.27049264 -0.26833350 -0.04226448 -0.24039295
## COUGHING -0.28943206 -0.16515932 -0.18212986 0.16201605
## SHORTNESS OF BREATH -0.08661648 -0.24196623 -0.05547607 0.42074772
## SWALLOWING DIFFICULTY 0.48053672 0.38375856 0.06487796 -0.16175386
## CHEST PAIN -0.15319517 -0.18028539 -0.01733230 -0.01644879
## WEIGHT -0.05429766 0.04605166 0.03742357 0.01478052
## HEIGHT_INCH 0.02644896 0.06522646 0.05240902 0.10153088
## ALLERGY WHEEZING ALCOHOL_CONSUMING COUGHING
## GENDER -0.14243678 -0.128517274 -0.447786815 -0.12649896
## AGE 0.03264052 0.025566046 0.025743497 0.15991800
## SMOKING -0.05967943 -0.131295710 -0.072553571 -0.13959831
## YELLOW_FINGERS -0.21540844 -0.145576515 -0.397804665 -0.09429699
## ANXIETY -0.22644778 -0.223311726 -0.270492644 -0.28943206
## PEER_PRESSURE -0.14810027 -0.144828000 -0.268333498 -0.16515932
## CHRONIC DISEASE 0.07895132 -0.056501910 -0.042264476 -0.18212986
## FATIGUE -0.06489005 0.130536437 -0.240392953 0.16201605
## ALLERGY 1.00000000 0.096359336 0.280659865 0.11771316
## WHEEZING 0.09635934 1.000000000 0.207962959 0.29691670
## ALCOHOL_CONSUMING 0.28065986 0.207962959 1.000000000 0.13694628
## COUGHING 0.11771316 0.296916700 0.136946283 1.00000000
## SHORTNESS OF BREATH -0.06176901 -0.004003160 -0.184288278 0.30265793
## SWALLOWING DIFFICULTY -0.16164173 0.007296624 -0.099678375 -0.23942678
## CHEST PAIN 0.18678852 0.083331813 0.312679700 0.02884760
## WEIGHT 0.12287188 0.064992340 -0.012661154 -0.02456685
## HEIGHT_INCH 0.06728550 0.012281531 -0.004506582 -0.03030107
## SHORTNESS OF BREATH SWALLOWING DIFFICULTY CHEST PAIN
## GENDER 0.023676886 0.1365453702 -0.3336959365
## AGE -0.024957218 -0.0067669277 -0.0296668567
## SMOKING 0.093754225 0.0244288045 0.1089647949
## YELLOW_FINGERS -0.099372563 0.3103871593 -0.1786497088
## ANXIETY -0.086616477 0.4805367221 -0.1531951696
## PEER_PRESSURE -0.241966228 0.3837585606 -0.1802853885
## CHRONIC DISEASE -0.055476066 0.0648779556 -0.0173323002
## FATIGUE 0.420747721 -0.1617538620 -0.0164487924
## ALLERGY -0.061769006 -0.1616417305 0.1867885192
## WHEEZING -0.004003160 0.0072966240 0.0833318130
## ALCOHOL_CONSUMING -0.184288278 -0.0996783753 0.3126797004
## COUGHING 0.302657929 -0.2394267761 0.0288475963
## SHORTNESS OF BREATH 1.000000000 -0.1907532908 0.0586034799
## SWALLOWING DIFFICULTY -0.190753291 1.0000000000 0.0005587377
## CHEST PAIN 0.058603480 0.0005587377 1.0000000000
## WEIGHT 0.006313115 0.0382074786 0.0398613196
## HEIGHT_INCH -0.036829456 0.0860076089 0.0675318853
## WEIGHT HEIGHT_INCH
## GENDER -0.008265595 0.080291572
## AGE -0.050715677 -0.073128563
## SMOKING -0.140949861 -0.091248166
## YELLOW_FINGERS -0.024986898 0.077440872
## ANXIETY -0.054297657 0.026448963
## PEER_PRESSURE 0.046051663 0.065226460
## CHRONIC DISEASE 0.037423570 0.052409025
## FATIGUE 0.014780516 0.101530879
## ALLERGY 0.122871880 0.067285504
## WHEEZING 0.064992340 0.012281531
## ALCOHOL_CONSUMING -0.012661154 -0.004506582
## COUGHING -0.024566852 -0.030301067
## SHORTNESS OF BREATH 0.006313115 -0.036829456
## SWALLOWING DIFFICULTY 0.038207479 0.086007609
## CHEST PAIN 0.039861320 0.067531885
## WEIGHT 1.000000000 0.499748843
## HEIGHT_INCH 0.499748843 1.000000000
# Plotting a matrix for Correlation for People diagnosed with and without lung cancer
library(ggcorrplot)
## Loading required package: ggplot2
ggcorrplot(NC_corr, lab = TRUE)
ggcorrplot(YC_corr, lab = TRUE)
#Boxplot
ggplot(cancer,aes(y=AGE, fill=LUNG_CANCER))+geom_boxplot()+ labs(title='Comparison between age of people')
#Load packages
library(lattice)
library(ggplot2)
library(ggridges)
library(ggvis)
##
## Attaching package: 'ggvis'
##
## The following object is masked from 'package:ggplot2':
##
## resolution
library(ggthemes)
library(cowplot)
##
## Attaching package: 'cowplot'
##
## The following object is masked from 'package:ggthemes':
##
## theme_map
library(gapminder)
library(gganimate)
## No renderer backend detected. gganimate will default to writing frames to separate files
## Consider installing:
## - the `gifski` package for gif output
## - the `av` package for video output
## and restarting the R session
##
## Attaching package: 'gganimate'
##
## The following object is masked from 'package:ggvis':
##
## view_static
library(dplyr)
##
## Attaching package: 'dplyr'
##
## The following objects are masked from 'package:stats':
##
## filter, lag
##
## The following objects are masked from 'package:base':
##
## intersect, setdiff, setequal, union
library(tidyverse)
## ── Attaching core tidyverse packages ──────────────────────── tidyverse 2.0.0 ──
## ✔ forcats 1.0.0 ✔ stringr 1.5.0
## ✔ lubridate 1.9.2 ✔ tibble 3.1.8
## ✔ purrr 1.0.1 ✔ tidyr 1.3.0
## ── Conflicts ────────────────────────────────────────── tidyverse_conflicts() ──
## ✖ dplyr::filter() masks stats::filter()
## ✖ dplyr::lag() masks stats::lag()
## ✖ ggvis::resolution() masks ggplot2::resolution()
## ✖ lubridate::stamp() masks cowplot::stamp()
## ℹ Use the ]8;;http://conflicted.r-lib.org/conflicted package]8;; to force all conflicts to become errors
library(grid)
library(gridExtra)
##
## Attaching package: 'gridExtra'
##
## The following object is masked from 'package:dplyr':
##
## combine
library(RColorBrewer)
# GGplot
ggplot(cancer, aes(x=WEIGHT,y=AGE)) + geom_point()
ggplot(cancer, aes(x=WEIGHT,y=HEIGHT_INCH)) + facet_wrap(~LUNG_CANCER) + geom_point()
ggplot(cancer, aes(x=HEIGHT_INCH, y=AGE)) +geom_point(aes(color=PEER_PRESSURE))
ggplot(cancer, aes(x=HEIGHT_INCH,y=AGE)) + xlim(50,80) + geom_point(colour="steelblue", pch=3) +
labs(x="HEIGHT IN INCHES", y="AGE", title="LUNG CANCER Data")
#Histogram
ggplot(cancer, aes(AGE))+geom_histogram(bins=10)
ggplot(cancer, aes(AGE))+geom_histogram(aes(fill = after_stat(count)))
## `stat_bin()` using `bins = 30`. Pick better value with `binwidth`.
#Regression
ggplot(cancer, aes(x=WEIGHT, y=AGE)) + geom_point() + geom_smooth(method=lm)
## `geom_smooth()` using formula = 'y ~ x'
ggplot(cancer, aes(x=HEIGHT_INCH, y=AGE)) + geom_point() + stat_smooth()
## `geom_smooth()` using method = 'loess' and formula = 'y ~ x'
#Violin Plot
ggplot(cancer, aes(x=LUNG_CANCER, y=AGE)) + geom_violin()
ggplot(cancer, aes(x=LUNG_CANCER, y=WEIGHT)) + geom_violin()
ggplot(cancer, aes(x=LUNG_CANCER, y=HEIGHT_INCH)) + geom_violin()
#Boxplot
ggplot(cancer, aes(x=LUNG_CANCER, y=WEIGHT)) + geom_boxplot()
ggplot(cancer, aes(x=LUNG_CANCER, y=WEIGHT)) + geom_boxplot() + coord_flip()
#Density Plot and ggridges
ggplot(cancer, aes(x=AGE)) + geom_density()
ggplot(cancer, aes(x=AGE, fill=LUNG_CANCER, color=LUNG_CANCER)) + geom_density()
ggplot(cancer, aes(x=AGE, fill=LUNG_CANCER, color=LUNG_CANCER)) + geom_density(alpha=0.3, aes(y=..scaled..))
## Warning: The dot-dot notation (`..scaled..`) was deprecated in ggplot2 3.4.0.
## ℹ Please use `after_stat(scaled)` instead.
ggplot(cancer, aes(x=AGE, y=LUNG_CANCER)) + geom_density_ridges()
## Picking joint bandwidth of 2.54
ggplot(cancer, aes(x=WEIGHT)) + geom_density()
ggplot(cancer, aes(x=WEIGHT, y=LUNG_CANCER)) + geom_density_ridges()
## Picking joint bandwidth of 4.89
#Hexbin
ggplot(cancer, aes(x=HEIGHT_INCH, y=AGE)) + geom_hex()
## Warning: Computation failed in `stat_binhex()`
## Caused by error in `compute_group()`:
## ! The package `hexbin` is required for `stat_binhex()`
#GGthemes
# with ggthemes (see also ggsci, ggthemr)
lastplot <- ggplot(cancer, aes(x=WEIGHT,y=AGE)) + xlim(100,140) + geom_point(aes(color=LUNG_CANCER)) + stat_smooth() +
labs(x="WEIGHT", y="AGE", title="LUNG CANCER DATA")
lastplot + theme_bw()
## `geom_smooth()` using method = 'loess' and formula = 'y ~ x'
## Warning: Removed 48 rows containing non-finite values (`stat_smooth()`).
## Warning: Removed 48 rows containing missing values (`geom_point()`).
lastplot + theme_cowplot()
## `geom_smooth()` using method = 'loess' and formula = 'y ~ x'
## Warning: Removed 48 rows containing non-finite values (`stat_smooth()`).
## Removed 48 rows containing missing values (`geom_point()`).
lastplot + theme_dark()
## `geom_smooth()` using method = 'loess' and formula = 'y ~ x'
## Warning: Removed 48 rows containing non-finite values (`stat_smooth()`).
## Removed 48 rows containing missing values (`geom_point()`).
lastplot + theme_economist()
## `geom_smooth()` using method = 'loess' and formula = 'y ~ x'
## Warning: Removed 48 rows containing non-finite values (`stat_smooth()`).
## Removed 48 rows containing missing values (`geom_point()`).
lastplot + theme_fivethirtyeight()
## `geom_smooth()` using method = 'loess' and formula = 'y ~ x'
## Warning: Removed 48 rows containing non-finite values (`stat_smooth()`).
## Removed 48 rows containing missing values (`geom_point()`).
lastplot + theme_tufte()
## `geom_smooth()` using method = 'loess' and formula = 'y ~ x'
## Warning: Removed 48 rows containing non-finite values (`stat_smooth()`).
## Removed 48 rows containing missing values (`geom_point()`).
lastplot + theme_wsj()
## `geom_smooth()` using method = 'loess' and formula = 'y ~ x'
## Warning: Removed 48 rows containing non-finite values (`stat_smooth()`).
## Removed 48 rows containing missing values (`geom_point()`).
#Get the Correlations between the measurements
cor(cancer[-1])
## GENDER AGE SMOKING YELLOW_FINGERS
## GENDER 1.00000000 -0.021306438 -0.036276853 0.2129594615
## AGE -0.02130644 1.000000000 -0.084474561 0.0052048719
## SMOKING -0.03627685 -0.084474561 1.000000000 -0.0145848660
## YELLOW_FINGERS 0.21295946 0.005204872 -0.014584866 1.0000000000
## ANXIETY 0.15212660 0.053170355 0.160266983 0.5658292926
## PEER_PRESSURE 0.27556432 0.018685137 -0.042822324 0.3230832379
## CHRONIC DISEASE 0.20460564 -0.012642128 -0.141522309 0.0411221768
## FATIGUE 0.08356045 0.012614462 -0.029575460 -0.1180579217
## ALLERGY -0.15425095 0.027990485 0.001912698 -0.1442995270
## WHEEZING -0.14120674 0.055011347 -0.129425926 -0.0785152929
## ALCOHOL_CONSUMING -0.45426780 0.058985003 -0.050622751 -0.2890248419
## COUGHING -0.13330259 0.169950348 -0.129471065 -0.0126398427
## SHORTNESS OF BREATH 0.06491069 -0.017512737 0.061263759 -0.1059442844
## SWALLOWING DIFFICULTY 0.07816113 -0.001269878 0.030717735 0.3459037723
## CHEST PAIN -0.36295832 -0.018103926 0.120117461 -0.1048289865
## WEIGHT -0.01081768 -0.028273444 -0.154135563 0.0006496653
## HEIGHT_INCH 0.05801867 -0.064562763 -0.078120669 0.1066096672
## ANXIETY PEER_PRESSURE CHRONIC DISEASE FATIGUE
## GENDER 0.152126604 0.27556432 0.204605643 0.083560450
## AGE 0.053170355 0.01868514 -0.012642128 0.012614462
## SMOKING 0.160266983 -0.04282232 -0.141522309 -0.029575460
## YELLOW_FINGERS 0.565829293 0.32308324 0.041122177 -0.118057922
## ANXIETY 1.000000000 0.21684122 -0.009677825 -0.188538334
## PEER_PRESSURE 0.216841223 1.00000000 0.048514810 0.078148291
## CHRONIC DISEASE -0.009677825 0.04851481 1.000000000 -0.110528642
## FATIGUE -0.188538334 0.07814829 -0.110528642 1.000000000
## ALLERGY -0.165749538 -0.08179957 0.106386061 0.003056272
## WHEEZING -0.191807339 -0.06877067 -0.049967294 0.141936883
## ALCOHOL_CONSUMING -0.165749538 -0.15997297 0.002150491 -0.191376583
## COUGHING -0.225644074 -0.08901867 -0.175286710 0.146856016
## SHORTNESS OF BREATH -0.144076665 -0.22017534 -0.026458823 0.441744642
## SWALLOWING DIFFICULTY 0.489402762 0.36659037 0.075176421 -0.132790075
## CHEST PAIN -0.113633937 -0.09482847 -0.036937848 -0.010831789
## WEIGHT -0.049650071 0.06965455 0.060051327 -0.006639779
## HEIGHT_INCH 0.020927415 0.07121714 0.041034424 0.056616534
## ALLERGY WHEEZING ALCOHOL_CONSUMING COUGHING
## GENDER -0.154250955 -0.14120674 -0.454267796 -0.133302586
## AGE 0.027990485 0.05501135 0.058985003 0.169950348
## SMOKING 0.001912698 -0.12942593 -0.050622751 -0.129471065
## YELLOW_FINGERS -0.144299527 -0.07851529 -0.289024842 -0.012639843
## ANXIETY -0.165749538 -0.19180734 -0.165749538 -0.225644074
## PEER_PRESSURE -0.081799569 -0.06877067 -0.159972971 -0.089018666
## CHRONIC DISEASE 0.106386061 -0.04996729 0.002150491 -0.175286710
## FATIGUE 0.003056272 0.14193688 -0.191376583 0.146856016
## ALLERGY 1.000000000 0.17386692 0.344338822 0.189524168
## WHEEZING 0.173866916 1.00000000 0.265659481 0.374265392
## ALCOHOL_CONSUMING 0.344338822 0.26565948 1.000000000 0.202719970
## COUGHING 0.189524168 0.37426539 0.202719970 1.000000000
## SHORTNESS OF BREATH -0.030056438 0.03783420 -0.179415842 0.277385025
## SWALLOWING DIFFICULTY -0.061507906 0.06902742 -0.009293777 -0.157586304
## CHEST PAIN 0.239433033 0.14764047 0.331225598 0.083957755
## WEIGHT 0.077882001 0.04328427 -0.019123443 -0.007002533
## HEIGHT_INCH 0.055331790 0.01446635 -0.015407769 -0.020782350
## SHORTNESS OF BREATH SWALLOWING DIFFICULTY CHEST PAIN
## GENDER 0.06491069 0.078161133 -0.36295832
## AGE -0.01751274 -0.001269878 -0.01810393
## SMOKING 0.06126376 0.030717735 0.12011746
## YELLOW_FINGERS -0.10594428 0.345903772 -0.10482899
## ANXIETY -0.14407666 0.489402762 -0.11363394
## PEER_PRESSURE -0.22017534 0.366590371 -0.09482847
## CHRONIC DISEASE -0.02645882 0.075176421 -0.03693785
## FATIGUE 0.44174464 -0.132790075 -0.01083179
## ALLERGY -0.03005644 -0.061507906 0.23943303
## WHEEZING 0.03783420 0.069027417 0.14764047
## ALCOHOL_CONSUMING -0.17941584 -0.009293777 0.33122560
## COUGHING 0.27738502 -0.157586304 0.08395775
## SHORTNESS OF BREATH 1.00000000 -0.161014804 0.02425607
## SWALLOWING DIFFICULTY -0.16101480 1.000000000 0.06902742
## CHEST PAIN 0.02425607 0.069027417 1.00000000
## WEIGHT 0.01157763 0.050877795 0.06284525
## HEIGHT_INCH -0.04671399 0.092938786 0.09940380
## WEIGHT HEIGHT_INCH
## GENDER -0.0108176806 0.05801867
## AGE -0.0282734442 -0.06456276
## SMOKING -0.1541355630 -0.07812067
## YELLOW_FINGERS 0.0006496653 0.10660967
## ANXIETY -0.0496500708 0.02092741
## PEER_PRESSURE 0.0696545532 0.07121714
## CHRONIC DISEASE 0.0600513268 0.04103442
## FATIGUE -0.0066397795 0.05661653
## ALLERGY 0.0778820013 0.05533179
## WHEEZING 0.0432842670 0.01446635
## ALCOHOL_CONSUMING -0.0191234431 -0.01540777
## COUGHING -0.0070025333 -0.02078235
## SHORTNESS OF BREATH 0.0115776346 -0.04671399
## SWALLOWING DIFFICULTY 0.0508777954 0.09293879
## CHEST PAIN 0.0628452516 0.09940380
## WEIGHT 1.0000000000 0.49244436
## HEIGHT_INCH 0.4924443557 1.00000000
# Using prcomp to compute the principal components (eigenvalues and eigenvectors). With scale=TRUE, variable means are set to zero, and variances set to one
cancer_pca <- prcomp(cancer[,-1],scale=TRUE)
cancer_pca
## Standard deviations (1, .., p=17):
## [1] 1.6925050 1.3991347 1.2994647 1.2134854 1.1417493 1.0353277 0.9769035
## [8] 0.9440119 0.9031531 0.8452754 0.7957706 0.7654147 0.7285322 0.7184765
## [15] 0.6352291 0.5647943 0.5262480
##
## Rotation (n x k) = (17 x 17):
## PC1 PC2 PC3 PC4
## GENDER 0.3210475112 -0.286879473 0.17379787 -0.07237418
## AGE -0.0364649541 0.030795541 0.04688999 0.27943243
## SMOKING 0.0430283442 -0.003424731 -0.31567559 0.10751874
## YELLOW_FINGERS 0.3814759828 0.128104954 0.13853036 0.29389320
## ANXIETY 0.4033326977 0.205543431 -0.07469222 0.26312783
## PEER_PRESSURE 0.3069045925 0.105788877 0.22315119 0.15097246
## CHRONIC DISEASE 0.0902654180 0.066353796 0.10570086 -0.32228900
## FATIGUE -0.1024499601 -0.391147209 0.29985430 0.20127738
## ALLERGY -0.2493507498 0.239694551 0.12271547 -0.02157728
## WHEEZING -0.2442608884 0.124539773 0.26727611 0.32565680
## ALCOHOL_CONSUMING -0.3321543572 0.413483478 -0.08463899 0.03187039
## COUGHING -0.2792205789 -0.058744485 0.24960914 0.42897511
## SHORTNESS OF BREATH -0.1417347885 -0.424686551 0.17846341 0.18710306
## SWALLOWING DIFFICULTY 0.2925413504 0.343624495 0.11855529 0.25354529
## CHEST PAIN -0.2335726303 0.316920719 0.02654379 0.06741104
## WEIGHT -0.0003161562 0.138055198 0.49723646 -0.33025021
## HEIGHT_INCH 0.0485449546 0.155477544 0.49241846 -0.27906767
## PC5 PC6 PC7 PC8
## GENDER 0.20073240 -0.24182352 0.01184223 -0.03985594
## AGE 0.33787243 0.23970537 0.59890223 -0.53931034
## SMOKING -0.52742230 -0.22454151 0.15463295 -0.20038365
## YELLOW_FINGERS -0.02429773 0.03987572 0.14776817 0.31135018
## ANXIETY -0.14203498 0.02100195 0.25209607 0.16394901
## PEER_PRESSURE 0.09868719 -0.13237811 -0.39679983 -0.48888049
## CHRONIC DISEASE 0.34336849 -0.58708763 0.27268807 0.16305791
## FATIGUE -0.19343265 -0.19872006 -0.17492007 -0.30793949
## ALLERGY 0.06195362 -0.42347967 0.18154792 -0.13304550
## WHEEZING 0.15239622 -0.07376779 -0.30344915 0.23592177
## ALCOHOL_CONSUMING 0.10964754 -0.04578332 -0.04969458 -0.01545999
## COUGHING 0.13819136 0.11156157 0.09656026 0.21956243
## SHORTNESS OF BREATH -0.26321037 -0.22493715 0.29003504 0.21690138
## SWALLOWING DIFFICULTY -0.08485041 -0.18711304 -0.12109907 0.02088317
## CHEST PAIN -0.36362550 -0.22121918 0.06275957 -0.11472139
## WEIGHT -0.18496760 0.24504959 0.13211070 -0.01887354
## HEIGHT_INCH -0.28364547 0.18977120 0.11161979 -0.01894483
## PC9 PC10 PC11 PC12
## GENDER 0.281223963 -0.244510475 -0.19864542 0.05106762
## AGE -0.181259271 -0.179178546 -0.05135663 0.09966744
## SMOKING 0.339753798 -0.456246291 -0.21657468 -0.12513209
## YELLOW_FINGERS 0.158443155 0.321656428 -0.15293052 0.26549819
## ANXIETY -0.025925593 -0.006524112 0.32378188 0.05972929
## PEER_PRESSURE 0.096840684 0.223908923 -0.20262510 -0.31742172
## CHRONIC DISEASE -0.258475999 -0.054485578 -0.19258350 -0.03483907
## FATIGUE -0.196587965 0.100942472 0.31336340 0.29668046
## ALLERGY 0.539524367 0.193301357 0.42374977 0.12050452
## WHEEZING -0.038620686 -0.568302398 -0.07283366 0.28908157
## ALCOHOL_CONSUMING -0.031951385 -0.019777592 0.14861759 -0.21687274
## COUGHING 0.309583479 0.133044654 -0.28342941 -0.32037459
## SHORTNESS OF BREATH -0.217039867 0.069598604 0.09520010 -0.35152144
## SWALLOWING DIFFICULTY -0.312852651 -0.209578384 0.23533684 -0.25912909
## CHEST PAIN -0.292637073 0.281207000 -0.49725726 0.21746471
## WEIGHT 0.003135894 -0.124979041 0.06520556 -0.37197858
## HEIGHT_INCH 0.109288894 -0.106118071 -0.05641311 0.28916542
## PC13 PC14 PC15 PC16
## GENDER -0.15894162 0.55185603 0.36640789 -0.08405264
## AGE -0.04778967 -0.01222126 -0.04085982 0.10718595
## SMOKING 0.17075516 -0.24864171 -0.03445354 -0.03818447
## YELLOW_FINGERS 0.04413678 -0.28524951 0.08772850 0.24449863
## ANXIETY 0.07894326 0.02454333 0.36258509 -0.24996070
## PEER_PRESSURE 0.11049565 -0.16437026 0.05166587 0.26450112
## CHRONIC DISEASE 0.26824464 -0.30220749 -0.07820030 -0.16153534
## FATIGUE 0.23102739 -0.15679639 0.13579435 -0.35854302
## ALLERGY -0.27698525 0.00347222 -0.14402150 0.09185413
## WHEEZING -0.15780709 -0.21356468 0.10523380 0.20530205
## ALCOHOL_CONSUMING 0.47755491 0.19969356 0.50074175 0.13770113
## COUGHING 0.17712228 0.07652517 -0.18263798 -0.45814232
## SHORTNESS OF BREATH -0.01819713 0.11879426 0.04977730 0.51704680
## SWALLOWING DIFFICULTY -0.12461765 0.28371676 -0.44270428 -0.11953032
## CHEST PAIN -0.30203928 0.21227649 0.16091658 -0.11875744
## WEIGHT -0.33879401 -0.31881843 0.29309129 -0.17393309
## HEIGHT_INCH 0.46330708 0.27552099 -0.26518467 0.16642627
## PC17
## GENDER 0.16314656
## AGE 0.05623413
## SMOKING 0.12035893
## YELLOW_FINGERS 0.48817125
## ANXIETY -0.54709508
## PEER_PRESSURE -0.29176685
## CHRONIC DISEASE -0.07288202
## FATIGUE 0.20916257
## ALLERGY -0.05062214
## WHEEZING -0.18401827
## ALCOHOL_CONSUMING 0.29244662
## COUGHING -0.07868837
## SHORTNESS OF BREATH -0.11319831
## SWALLOWING DIFFICULTY 0.30009780
## CHEST PAIN -0.07706518
## WEIGHT 0.14740550
## HEIGHT_INCH -0.15886979
summary(cancer_pca)
## Importance of components:
## PC1 PC2 PC3 PC4 PC5 PC6 PC7
## Standard deviation 1.6925 1.3991 1.29946 1.21349 1.14175 1.03533 0.97690
## Proportion of Variance 0.1685 0.1152 0.09933 0.08662 0.07668 0.06305 0.05614
## Cumulative Proportion 0.1685 0.2837 0.38299 0.46961 0.54629 0.60934 0.66548
## PC8 PC9 PC10 PC11 PC12 PC13 PC14
## Standard deviation 0.94401 0.90315 0.84528 0.79577 0.76541 0.72853 0.71848
## Proportion of Variance 0.05242 0.04798 0.04203 0.03725 0.03446 0.03122 0.03037
## Cumulative Proportion 0.71790 0.76588 0.80791 0.84516 0.87962 0.91084 0.94121
## PC15 PC16 PC17
## Standard deviation 0.63523 0.56479 0.52625
## Proportion of Variance 0.02374 0.01876 0.01629
## Cumulative Proportion 0.96495 0.98371 1.00000
# sample scores stored in cancer_pca$x
# singular values (square roots of eigenvalues) stored in cancer_pca$sdev
# loadings (eigenvectors) are stored in cancer_pca$rotation
# variable means stored in cancer_pca$center
# variable standard deviations stored in cancer_pca$scale
# A table containing eigenvalues and %'s accounted, follows
# Eigenvalues are sdev^2
(eigen_cancer <- cancer_pca$sdev^2)
## [1] 2.8645733 1.9575778 1.6886084 1.4725468 1.3035915 1.0719035 0.9543405
## [8] 0.8911585 0.8156856 0.7144905 0.6332509 0.5858596 0.5307591 0.5162084
## [15] 0.4035160 0.3189926 0.2769370
names(eigen_cancer) <- paste("PC",1:5,sep="")
eigen_cancer
## PC1 PC2 PC3 PC4 PC5 <NA> <NA> <NA>
## 2.8645733 1.9575778 1.6886084 1.4725468 1.3035915 1.0719035 0.9543405 0.8911585
## <NA> <NA> <NA> <NA> <NA> <NA> <NA> <NA>
## 0.8156856 0.7144905 0.6332509 0.5858596 0.5307591 0.5162084 0.4035160 0.3189926
## <NA>
## 0.2769370
sumlambdas <- sum(eigen_cancer)
sumlambdas
## [1] 17
propvar <- eigen_cancer/sumlambdas
propvar
## PC1 PC2 PC3 PC4 PC5 <NA> <NA>
## 0.16850431 0.11515164 0.09932991 0.08662040 0.07668185 0.06305315 0.05613767
## <NA> <NA> <NA> <NA> <NA> <NA> <NA>
## 0.05242109 0.04798150 0.04202885 0.03725005 0.03446233 0.03122113 0.03036520
## <NA> <NA> <NA>
## 0.02373623 0.01876427 0.01629041
cumvar_cancer <- cumsum(propvar)
cumvar_cancer
## PC1 PC2 PC3 PC4 PC5 <NA> <NA> <NA>
## 0.1685043 0.2836559 0.3829859 0.4696063 0.5462881 0.6093413 0.6654789 0.7179000
## <NA> <NA> <NA> <NA> <NA> <NA> <NA> <NA>
## 0.7658815 0.8079104 0.8451604 0.8796228 0.9108439 0.9412091 0.9649453 0.9837096
## <NA>
## 1.0000000
matlambdas <- rbind(eigen_cancer,propvar,cumvar_cancer)
rownames(matlambdas) <- c("Eigenvalues","Prop. variance","Cum. prop. variance")
round(matlambdas,4)
## PC1 PC2 PC3 PC4 PC5 <NA> <NA> <NA>
## Eigenvalues 2.8646 1.9576 1.6886 1.4725 1.3036 1.0719 0.9543 0.8912
## Prop. variance 0.1685 0.1152 0.0993 0.0866 0.0767 0.0631 0.0561 0.0524
## Cum. prop. variance 0.1685 0.2837 0.3830 0.4696 0.5463 0.6093 0.6655 0.7179
## <NA> <NA> <NA> <NA> <NA> <NA> <NA> <NA>
## Eigenvalues 0.8157 0.7145 0.6333 0.5859 0.5308 0.5162 0.4035 0.3190
## Prop. variance 0.0480 0.0420 0.0373 0.0345 0.0312 0.0304 0.0237 0.0188
## Cum. prop. variance 0.7659 0.8079 0.8452 0.8796 0.9108 0.9412 0.9649 0.9837
## <NA>
## Eigenvalues 0.2769
## Prop. variance 0.0163
## Cum. prop. variance 1.0000
summary(cancer_pca)
## Importance of components:
## PC1 PC2 PC3 PC4 PC5 PC6 PC7
## Standard deviation 1.6925 1.3991 1.29946 1.21349 1.14175 1.03533 0.97690
## Proportion of Variance 0.1685 0.1152 0.09933 0.08662 0.07668 0.06305 0.05614
## Cumulative Proportion 0.1685 0.2837 0.38299 0.46961 0.54629 0.60934 0.66548
## PC8 PC9 PC10 PC11 PC12 PC13 PC14
## Standard deviation 0.94401 0.90315 0.84528 0.79577 0.76541 0.72853 0.71848
## Proportion of Variance 0.05242 0.04798 0.04203 0.03725 0.03446 0.03122 0.03037
## Cumulative Proportion 0.71790 0.76588 0.80791 0.84516 0.87962 0.91084 0.94121
## PC15 PC16 PC17
## Standard deviation 0.63523 0.56479 0.52625
## Proportion of Variance 0.02374 0.01876 0.01629
## Cumulative Proportion 0.96495 0.98371 1.00000
cancer_pca$rotation
## PC1 PC2 PC3 PC4
## GENDER 0.3210475112 -0.286879473 0.17379787 -0.07237418
## AGE -0.0364649541 0.030795541 0.04688999 0.27943243
## SMOKING 0.0430283442 -0.003424731 -0.31567559 0.10751874
## YELLOW_FINGERS 0.3814759828 0.128104954 0.13853036 0.29389320
## ANXIETY 0.4033326977 0.205543431 -0.07469222 0.26312783
## PEER_PRESSURE 0.3069045925 0.105788877 0.22315119 0.15097246
## CHRONIC DISEASE 0.0902654180 0.066353796 0.10570086 -0.32228900
## FATIGUE -0.1024499601 -0.391147209 0.29985430 0.20127738
## ALLERGY -0.2493507498 0.239694551 0.12271547 -0.02157728
## WHEEZING -0.2442608884 0.124539773 0.26727611 0.32565680
## ALCOHOL_CONSUMING -0.3321543572 0.413483478 -0.08463899 0.03187039
## COUGHING -0.2792205789 -0.058744485 0.24960914 0.42897511
## SHORTNESS OF BREATH -0.1417347885 -0.424686551 0.17846341 0.18710306
## SWALLOWING DIFFICULTY 0.2925413504 0.343624495 0.11855529 0.25354529
## CHEST PAIN -0.2335726303 0.316920719 0.02654379 0.06741104
## WEIGHT -0.0003161562 0.138055198 0.49723646 -0.33025021
## HEIGHT_INCH 0.0485449546 0.155477544 0.49241846 -0.27906767
## PC5 PC6 PC7 PC8
## GENDER 0.20073240 -0.24182352 0.01184223 -0.03985594
## AGE 0.33787243 0.23970537 0.59890223 -0.53931034
## SMOKING -0.52742230 -0.22454151 0.15463295 -0.20038365
## YELLOW_FINGERS -0.02429773 0.03987572 0.14776817 0.31135018
## ANXIETY -0.14203498 0.02100195 0.25209607 0.16394901
## PEER_PRESSURE 0.09868719 -0.13237811 -0.39679983 -0.48888049
## CHRONIC DISEASE 0.34336849 -0.58708763 0.27268807 0.16305791
## FATIGUE -0.19343265 -0.19872006 -0.17492007 -0.30793949
## ALLERGY 0.06195362 -0.42347967 0.18154792 -0.13304550
## WHEEZING 0.15239622 -0.07376779 -0.30344915 0.23592177
## ALCOHOL_CONSUMING 0.10964754 -0.04578332 -0.04969458 -0.01545999
## COUGHING 0.13819136 0.11156157 0.09656026 0.21956243
## SHORTNESS OF BREATH -0.26321037 -0.22493715 0.29003504 0.21690138
## SWALLOWING DIFFICULTY -0.08485041 -0.18711304 -0.12109907 0.02088317
## CHEST PAIN -0.36362550 -0.22121918 0.06275957 -0.11472139
## WEIGHT -0.18496760 0.24504959 0.13211070 -0.01887354
## HEIGHT_INCH -0.28364547 0.18977120 0.11161979 -0.01894483
## PC9 PC10 PC11 PC12
## GENDER 0.281223963 -0.244510475 -0.19864542 0.05106762
## AGE -0.181259271 -0.179178546 -0.05135663 0.09966744
## SMOKING 0.339753798 -0.456246291 -0.21657468 -0.12513209
## YELLOW_FINGERS 0.158443155 0.321656428 -0.15293052 0.26549819
## ANXIETY -0.025925593 -0.006524112 0.32378188 0.05972929
## PEER_PRESSURE 0.096840684 0.223908923 -0.20262510 -0.31742172
## CHRONIC DISEASE -0.258475999 -0.054485578 -0.19258350 -0.03483907
## FATIGUE -0.196587965 0.100942472 0.31336340 0.29668046
## ALLERGY 0.539524367 0.193301357 0.42374977 0.12050452
## WHEEZING -0.038620686 -0.568302398 -0.07283366 0.28908157
## ALCOHOL_CONSUMING -0.031951385 -0.019777592 0.14861759 -0.21687274
## COUGHING 0.309583479 0.133044654 -0.28342941 -0.32037459
## SHORTNESS OF BREATH -0.217039867 0.069598604 0.09520010 -0.35152144
## SWALLOWING DIFFICULTY -0.312852651 -0.209578384 0.23533684 -0.25912909
## CHEST PAIN -0.292637073 0.281207000 -0.49725726 0.21746471
## WEIGHT 0.003135894 -0.124979041 0.06520556 -0.37197858
## HEIGHT_INCH 0.109288894 -0.106118071 -0.05641311 0.28916542
## PC13 PC14 PC15 PC16
## GENDER -0.15894162 0.55185603 0.36640789 -0.08405264
## AGE -0.04778967 -0.01222126 -0.04085982 0.10718595
## SMOKING 0.17075516 -0.24864171 -0.03445354 -0.03818447
## YELLOW_FINGERS 0.04413678 -0.28524951 0.08772850 0.24449863
## ANXIETY 0.07894326 0.02454333 0.36258509 -0.24996070
## PEER_PRESSURE 0.11049565 -0.16437026 0.05166587 0.26450112
## CHRONIC DISEASE 0.26824464 -0.30220749 -0.07820030 -0.16153534
## FATIGUE 0.23102739 -0.15679639 0.13579435 -0.35854302
## ALLERGY -0.27698525 0.00347222 -0.14402150 0.09185413
## WHEEZING -0.15780709 -0.21356468 0.10523380 0.20530205
## ALCOHOL_CONSUMING 0.47755491 0.19969356 0.50074175 0.13770113
## COUGHING 0.17712228 0.07652517 -0.18263798 -0.45814232
## SHORTNESS OF BREATH -0.01819713 0.11879426 0.04977730 0.51704680
## SWALLOWING DIFFICULTY -0.12461765 0.28371676 -0.44270428 -0.11953032
## CHEST PAIN -0.30203928 0.21227649 0.16091658 -0.11875744
## WEIGHT -0.33879401 -0.31881843 0.29309129 -0.17393309
## HEIGHT_INCH 0.46330708 0.27552099 -0.26518467 0.16642627
## PC17
## GENDER 0.16314656
## AGE 0.05623413
## SMOKING 0.12035893
## YELLOW_FINGERS 0.48817125
## ANXIETY -0.54709508
## PEER_PRESSURE -0.29176685
## CHRONIC DISEASE -0.07288202
## FATIGUE 0.20916257
## ALLERGY -0.05062214
## WHEEZING -0.18401827
## ALCOHOL_CONSUMING 0.29244662
## COUGHING -0.07868837
## SHORTNESS OF BREATH -0.11319831
## SWALLOWING DIFFICULTY 0.30009780
## CHEST PAIN -0.07706518
## WEIGHT 0.14740550
## HEIGHT_INCH -0.15886979
print(cancer_pca)
## Standard deviations (1, .., p=17):
## [1] 1.6925050 1.3991347 1.2994647 1.2134854 1.1417493 1.0353277 0.9769035
## [8] 0.9440119 0.9031531 0.8452754 0.7957706 0.7654147 0.7285322 0.7184765
## [15] 0.6352291 0.5647943 0.5262480
##
## Rotation (n x k) = (17 x 17):
## PC1 PC2 PC3 PC4
## GENDER 0.3210475112 -0.286879473 0.17379787 -0.07237418
## AGE -0.0364649541 0.030795541 0.04688999 0.27943243
## SMOKING 0.0430283442 -0.003424731 -0.31567559 0.10751874
## YELLOW_FINGERS 0.3814759828 0.128104954 0.13853036 0.29389320
## ANXIETY 0.4033326977 0.205543431 -0.07469222 0.26312783
## PEER_PRESSURE 0.3069045925 0.105788877 0.22315119 0.15097246
## CHRONIC DISEASE 0.0902654180 0.066353796 0.10570086 -0.32228900
## FATIGUE -0.1024499601 -0.391147209 0.29985430 0.20127738
## ALLERGY -0.2493507498 0.239694551 0.12271547 -0.02157728
## WHEEZING -0.2442608884 0.124539773 0.26727611 0.32565680
## ALCOHOL_CONSUMING -0.3321543572 0.413483478 -0.08463899 0.03187039
## COUGHING -0.2792205789 -0.058744485 0.24960914 0.42897511
## SHORTNESS OF BREATH -0.1417347885 -0.424686551 0.17846341 0.18710306
## SWALLOWING DIFFICULTY 0.2925413504 0.343624495 0.11855529 0.25354529
## CHEST PAIN -0.2335726303 0.316920719 0.02654379 0.06741104
## WEIGHT -0.0003161562 0.138055198 0.49723646 -0.33025021
## HEIGHT_INCH 0.0485449546 0.155477544 0.49241846 -0.27906767
## PC5 PC6 PC7 PC8
## GENDER 0.20073240 -0.24182352 0.01184223 -0.03985594
## AGE 0.33787243 0.23970537 0.59890223 -0.53931034
## SMOKING -0.52742230 -0.22454151 0.15463295 -0.20038365
## YELLOW_FINGERS -0.02429773 0.03987572 0.14776817 0.31135018
## ANXIETY -0.14203498 0.02100195 0.25209607 0.16394901
## PEER_PRESSURE 0.09868719 -0.13237811 -0.39679983 -0.48888049
## CHRONIC DISEASE 0.34336849 -0.58708763 0.27268807 0.16305791
## FATIGUE -0.19343265 -0.19872006 -0.17492007 -0.30793949
## ALLERGY 0.06195362 -0.42347967 0.18154792 -0.13304550
## WHEEZING 0.15239622 -0.07376779 -0.30344915 0.23592177
## ALCOHOL_CONSUMING 0.10964754 -0.04578332 -0.04969458 -0.01545999
## COUGHING 0.13819136 0.11156157 0.09656026 0.21956243
## SHORTNESS OF BREATH -0.26321037 -0.22493715 0.29003504 0.21690138
## SWALLOWING DIFFICULTY -0.08485041 -0.18711304 -0.12109907 0.02088317
## CHEST PAIN -0.36362550 -0.22121918 0.06275957 -0.11472139
## WEIGHT -0.18496760 0.24504959 0.13211070 -0.01887354
## HEIGHT_INCH -0.28364547 0.18977120 0.11161979 -0.01894483
## PC9 PC10 PC11 PC12
## GENDER 0.281223963 -0.244510475 -0.19864542 0.05106762
## AGE -0.181259271 -0.179178546 -0.05135663 0.09966744
## SMOKING 0.339753798 -0.456246291 -0.21657468 -0.12513209
## YELLOW_FINGERS 0.158443155 0.321656428 -0.15293052 0.26549819
## ANXIETY -0.025925593 -0.006524112 0.32378188 0.05972929
## PEER_PRESSURE 0.096840684 0.223908923 -0.20262510 -0.31742172
## CHRONIC DISEASE -0.258475999 -0.054485578 -0.19258350 -0.03483907
## FATIGUE -0.196587965 0.100942472 0.31336340 0.29668046
## ALLERGY 0.539524367 0.193301357 0.42374977 0.12050452
## WHEEZING -0.038620686 -0.568302398 -0.07283366 0.28908157
## ALCOHOL_CONSUMING -0.031951385 -0.019777592 0.14861759 -0.21687274
## COUGHING 0.309583479 0.133044654 -0.28342941 -0.32037459
## SHORTNESS OF BREATH -0.217039867 0.069598604 0.09520010 -0.35152144
## SWALLOWING DIFFICULTY -0.312852651 -0.209578384 0.23533684 -0.25912909
## CHEST PAIN -0.292637073 0.281207000 -0.49725726 0.21746471
## WEIGHT 0.003135894 -0.124979041 0.06520556 -0.37197858
## HEIGHT_INCH 0.109288894 -0.106118071 -0.05641311 0.28916542
## PC13 PC14 PC15 PC16
## GENDER -0.15894162 0.55185603 0.36640789 -0.08405264
## AGE -0.04778967 -0.01222126 -0.04085982 0.10718595
## SMOKING 0.17075516 -0.24864171 -0.03445354 -0.03818447
## YELLOW_FINGERS 0.04413678 -0.28524951 0.08772850 0.24449863
## ANXIETY 0.07894326 0.02454333 0.36258509 -0.24996070
## PEER_PRESSURE 0.11049565 -0.16437026 0.05166587 0.26450112
## CHRONIC DISEASE 0.26824464 -0.30220749 -0.07820030 -0.16153534
## FATIGUE 0.23102739 -0.15679639 0.13579435 -0.35854302
## ALLERGY -0.27698525 0.00347222 -0.14402150 0.09185413
## WHEEZING -0.15780709 -0.21356468 0.10523380 0.20530205
## ALCOHOL_CONSUMING 0.47755491 0.19969356 0.50074175 0.13770113
## COUGHING 0.17712228 0.07652517 -0.18263798 -0.45814232
## SHORTNESS OF BREATH -0.01819713 0.11879426 0.04977730 0.51704680
## SWALLOWING DIFFICULTY -0.12461765 0.28371676 -0.44270428 -0.11953032
## CHEST PAIN -0.30203928 0.21227649 0.16091658 -0.11875744
## WEIGHT -0.33879401 -0.31881843 0.29309129 -0.17393309
## HEIGHT_INCH 0.46330708 0.27552099 -0.26518467 0.16642627
## PC17
## GENDER 0.16314656
## AGE 0.05623413
## SMOKING 0.12035893
## YELLOW_FINGERS 0.48817125
## ANXIETY -0.54709508
## PEER_PRESSURE -0.29176685
## CHRONIC DISEASE -0.07288202
## FATIGUE 0.20916257
## ALLERGY -0.05062214
## WHEEZING -0.18401827
## ALCOHOL_CONSUMING 0.29244662
## COUGHING -0.07868837
## SHORTNESS OF BREATH -0.11319831
## SWALLOWING DIFFICULTY 0.30009780
## CHEST PAIN -0.07706518
## WEIGHT 0.14740550
## HEIGHT_INCH -0.15886979
## Sample scores stored in cancer_pca$x
cancer_pca$x
## PC1 PC2 PC3 PC4 PC5
## [1,] -0.646329947 0.332751806 -0.44274023 2.859184418 0.122598754
## [2,] -0.610508061 0.058855781 0.83878638 -1.618262677 -1.600337930
## [3,] -0.749550736 -1.504421159 2.66955055 -0.633003311 -0.554423032
## [4,] 1.096019632 2.420201554 -1.33296429 -0.623882219 -1.620199492
## [5,] 0.036188930 -1.476567174 1.06322075 -0.297399332 0.877535001
## [6,] -0.532567242 -1.816704968 1.59490775 0.295408659 1.957759532
## [7,] -2.543550172 -0.443750841 0.65879801 -0.490274648 -2.164652907
## [8,] 2.572207921 -0.611692066 0.98184227 -0.400242160 -2.014776748
## [9,] 1.272938608 -1.748902681 -2.03358144 -0.603715268 -0.190135930
## [10,] 1.396823254 2.844502270 -1.74624933 -0.548914628 -0.481234509
## [11,] 2.064989024 -1.179537297 0.77287410 1.619240317 0.200840281
## [12,] -3.094017924 -0.236356800 0.18223710 0.351212010 1.270144781
## [13,] 0.217887666 -2.889346007 -0.91100600 -1.432307481 -1.045267875
## [14,] -3.138457875 -0.373951998 -0.53082600 0.580383563 -1.106225675
## [15,] -2.644849262 1.404467949 -1.44318316 0.143100628 0.232452899
## [16,] 1.650628200 -0.224745382 3.27395413 -0.093011818 -0.017887882
## [17,] -2.832351242 0.682525475 -0.73821564 -0.010801951 0.679269335
## [18,] 1.926614145 2.783633537 -0.57374848 -1.250303351 -1.057854292
## [19,] 2.058726013 -1.588839942 1.68092889 -0.276981888 -0.505797399
## [20,] 0.277622753 -2.858606054 -0.42259847 -2.045803131 0.939549144
## [21,] 3.229605844 -1.107957864 0.54769701 -1.054795775 -1.494603821
## [22,] 1.856494117 1.281078425 1.72529424 0.500791276 1.185679005
## [23,] -0.050480044 -3.127406007 -3.04980327 -1.990025288 -0.705699392
## [24,] -3.114648178 -0.180587030 0.10426359 0.266726364 -1.323963055
## [25,] 0.277610744 3.357861077 0.49327829 0.917467589 0.437189391
## [26,] -0.593103049 0.624184222 0.58814373 2.058674696 -0.508287510
## [27,] 0.798726715 0.817444755 0.93374653 -0.444838292 -2.523918618
## [28,] -1.483179713 -1.292781315 1.00754634 0.715640195 0.065334512
## [29,] 1.135171580 0.783408309 -1.75430086 0.465724163 -0.417313447
## [30,] -1.513992882 -1.471854090 -0.71445396 1.239531591 0.767188290
## [31,] 1.249804903 -1.966549418 -1.89456009 -0.936322757 -0.643651435
## [32,] -1.015659657 1.565562602 -1.96636100 0.688684179 -1.044736566
## [33,] 1.959456710 -0.179323614 -1.66903462 -0.161407143 -1.632984057
## [34,] 2.332965976 0.401390187 0.14559217 -1.127745419 -1.393041621
## [35,] 1.785139801 1.845010472 0.27438022 -1.498888257 -1.437361903
## [36,] 2.803119610 -0.463091900 -0.61631147 -1.129814399 -0.672500165
## [37,] -0.906183428 -0.252869061 0.60868898 -0.552044454 0.490794665
## [38,] 0.625607571 -1.096717211 -0.29615831 -1.482097111 1.247479925
## [39,] -0.980782008 -0.452929695 -1.00809976 -1.791086031 -0.953341909
## [40,] -2.531034433 1.054359249 -2.75170356 0.062941767 1.314619757
## [41,] -1.849943675 -0.036969503 -0.70926167 0.528593229 -1.528261831
## [42,] -0.768929068 0.787507023 -0.50866975 0.164717527 1.435220054
## [43,] 1.593703995 0.429036798 1.52983078 -0.546232596 1.925341348
## [44,] -1.913272210 0.172794143 0.20744605 -0.721150606 -1.789307797
## [45,] 1.543800949 0.459571313 -1.73845136 0.640217881 2.124908844
## [46,] 0.292377930 1.094376928 0.98377124 1.985566661 -0.599839321
## [47,] -0.251600030 0.717276148 0.11116195 -0.575662628 -0.910947467
## [48,] 0.254838293 0.616454646 0.11114292 1.765377472 -0.055649992
## [49,] 0.179367433 1.125141361 2.32349723 -0.520119821 0.277971205
## [50,] 0.952911843 1.162517658 -0.71030972 -2.443376329 1.135427261
## [51,] -0.851848170 0.904980380 1.94819723 -2.525220801 0.637015235
## [52,] 0.301087025 -0.841444915 -0.33470279 0.020924532 -0.407424612
## [53,] -0.906545994 1.108874215 1.03521271 0.179671277 -0.804835301
## [54,] -1.669956979 0.706463198 0.54089194 0.336371630 -0.952496542
## [55,] 0.195017025 -0.473764877 0.02002028 -0.520758210 2.360776695
## [56,] 0.200650077 2.716951889 1.41770341 -0.952121471 0.740632192
## [57,] 0.518073225 -1.367268061 2.81032243 -0.783212228 -0.937364905
## [58,] -1.831824121 1.109402015 -0.45190838 -0.415424258 1.192288451
## [59,] 0.685756178 -0.408794213 0.31395717 0.052650501 -0.299515433
## [60,] -0.498748639 0.460812608 0.14593215 1.348117096 -1.331297016
## [61,] -0.851501742 1.873535014 1.07688266 1.057769336 1.654911975
## [62,] 1.671406217 -0.423441611 0.01975544 -0.908557402 0.637102625
## [63,] -1.102287719 0.573598828 1.07737079 0.769959205 1.589212310
## [64,] 0.487489582 1.589885359 -0.52386479 -1.031169208 2.329019058
## [65,] -1.821523333 0.607204567 2.39323915 0.916516254 0.021873142
## [66,] 1.890194887 0.314196298 0.21915753 1.943292140 0.447955709
## [67,] -0.908993115 -1.002601881 2.42194180 -0.792706294 0.098085784
## [68,] -2.188253111 -1.295291142 -0.20414494 0.389988620 -0.418881441
## [69,] 1.922127515 -0.483661450 -0.89450174 1.892882896 -0.799898913
## [70,] 1.831473258 -1.208432390 0.77153641 2.788481409 0.126999960
## [71,] 1.111645609 2.745232439 -1.90160470 0.587416793 -0.459646651
## [72,] 1.972055116 -0.866834386 1.97362887 1.622670501 -1.020641169
## [73,] -3.014541351 0.230927487 1.82358730 -0.870777134 0.323242135
## [74,] 0.297544932 -3.341535872 -2.66498436 -0.870757883 0.580788533
## [75,] -3.123513629 -0.202316474 0.02439536 0.353201837 -1.241766589
## [76,] -2.175119346 0.619405502 -1.87693522 -0.203685676 0.728913726
## [77,] 0.988165063 0.281111344 2.73257900 1.428695160 0.826564602
## [78,] -3.171148404 -0.393624263 -0.52860137 0.462431181 -1.108134631
## [79,] 1.909872378 2.594516335 -1.37039805 -0.316273317 -0.384527514
## [80,] 1.884232732 -0.836929091 0.25971121 2.107873428 -1.134661282
## [81,] 0.148410514 -2.759622666 0.17058795 -2.012337053 -0.253735238
## [82,] 3.159260208 -1.376912455 -0.46218545 -0.031919056 -0.631448204
## [83,] 1.589202745 3.215922052 1.45544104 -1.156249670 -0.416540691
## [84,] -0.735262114 -0.558683606 0.06426583 -0.614419304 3.046112719
## [85,] -2.492696658 -0.248148077 0.57351965 -1.485832190 -0.156211037
## [86,] 0.164831585 1.067984585 0.76191427 0.778873264 -0.004490012
## [87,] -0.791080564 1.277284906 0.13896203 -0.512508540 0.424119906
## [88,] 1.019972886 1.038546046 0.67879987 0.166896049 -1.036950670
## [89,] 1.355490521 1.048191345 -1.19753355 -1.835391137 0.487381401
## [90,] -0.217694604 1.268039722 0.47349157 -1.166491895 -0.149140965
## [91,] 0.200980870 1.569364821 0.23589533 -1.010042731 0.739065292
## [92,] -1.224091912 -1.370670443 1.95314352 -1.673818763 0.298939223
## [93,] -1.377079915 1.986294419 0.87166613 -2.146700312 -1.490469516
## [94,] 1.105509567 1.009068862 0.89835083 0.952703555 1.771596512
## [95,] -1.763739245 0.521690848 0.52910283 -1.278362192 -1.910301720
## [96,] 2.144246653 1.031814241 0.70297021 -0.327085070 -1.299959938
## [97,] -0.247301899 0.219966733 -1.52379872 0.759730600 -0.649174503
## [98,] -0.943580309 -0.985801589 -2.47162486 0.257887623 0.377111320
## [99,] 1.434728986 0.425244821 0.30490166 1.146598321 0.613218154
## [100,] -3.084789560 -0.318539996 -0.37773171 0.447133452 -1.342039635
## [101,] -2.211988131 0.291466382 -3.00610005 0.509360032 1.226245309
## [102,] 0.934186102 0.103006060 2.09662512 2.008597406 1.345721614
## [103,] -3.134406710 -0.118005299 0.30107545 0.285470960 -1.220197353
## [104,] 1.829037095 2.049999607 -3.14856312 0.573307112 0.274730687
## [105,] 1.889637650 -0.929392727 -0.06656941 2.287498244 -1.058126770
## [106,] 0.304495611 -2.796890852 -0.22372072 -2.193562275 0.775896724
## [107,] 3.150251750 -1.266687571 -0.15055069 0.047749838 -0.490198468
## [108,] 1.504721972 2.576287720 -0.70174306 0.107804727 0.494154681
## [109,] -0.513569276 -0.429919365 0.66685573 -2.146489489 1.272448570
## [110,] -2.049787993 -0.595265518 -1.39788656 -1.626354625 0.259757990
## [111,] -0.548863117 0.551657627 0.36348773 1.955891473 -0.754455175
## [112,] 0.137370850 1.157565543 -0.22654103 0.220013284 -2.581582640
## [113,] -0.769133382 -1.651851800 2.04076114 0.144667909 0.027932525
## [114,] 1.052948611 1.877461485 -3.18476295 0.436016597 -0.942808927
## [115,] -0.832893079 -1.520043078 1.23238975 0.789310913 1.071200271
## [116,] -0.521560718 -1.774839073 1.77212639 0.062067842 1.766517195
## [117,] -2.590558669 -0.606042808 0.07011790 0.065104794 -1.677476972
## [118,] 2.565856126 -0.636635561 0.90085819 -0.352743399 -1.971483866
## [119,] 1.890132650 -1.553285458 -0.21632974 2.489127348 -0.444483208
## [120,] 1.809485293 2.507239709 0.23379629 -0.904604737 -0.130106958
## [121,] 1.154753405 -0.820601807 -0.18191235 3.258811319 -0.010433839
## [122,] -3.068643554 -0.358110282 -0.17957410 0.278724442 1.079820384
## [123,] 0.603092803 -1.663570228 -0.81847194 -1.742527977 -1.373236514
## [124,] -0.262265717 -0.458918399 1.14583763 0.431171055 0.242487727
## [125,] -2.166676433 1.025027556 -2.44144452 -0.175700086 0.158619707
## [126,] 1.396820173 -1.775823130 0.44315452 0.164190546 1.111925399
## [127,] -2.621538470 -1.080128160 -1.50955976 0.829755886 -1.228986208
## [128,] 1.904628487 2.458422492 -1.72758409 -0.464085245 -0.547767196
## [129,] 2.449232521 -1.233115913 1.14940570 0.807738005 -1.464755784
## [130,] 0.346806820 -2.486510669 0.79296731 -2.700072211 0.411814347
## [131,] 3.029389183 -1.278867895 0.12853282 0.002537778 -1.822456522
## [132,] 1.929414827 1.312693320 1.78007480 0.409498610 0.912824308
## [133,] -0.087138867 -2.322217437 -0.65856528 -1.925296028 -0.156916374
## [134,] -3.286936885 -0.510578871 -1.06794608 1.550312925 0.014328320
## [135,] -0.243063096 3.265766261 0.36303718 0.455074271 -0.101216908
## [136,] -0.885383059 -0.103152291 0.79354384 1.149680047 0.191778725
## [137,] 0.779845934 -1.412199847 -1.48333758 0.232939883 -1.659993771
## [138,] -1.475619881 -1.358995678 0.78667103 0.785254199 0.063938933
## [139,] 1.315156524 1.874152974 1.90819130 -1.745565666 -2.120481240
## [140,] -1.435594309 -0.886655409 1.17170443 0.402456719 0.175080477
## [141,] 0.311554205 -1.503514600 1.98669876 -0.611745934 -0.377702324
## [142,] -1.898169897 -0.689807691 -1.77090536 1.813131302 -0.926438974
## [143,] 1.817982682 -0.274894663 -0.25700981 0.816135845 -1.374023354
## [144,] 1.132188201 0.097406071 1.56257454 1.507813279 -0.597525384
## [145,] 1.041211639 2.476633973 -2.22422610 0.853838815 0.789743107
## [146,] 1.911956582 -1.279682355 0.58493540 2.442926394 -0.412810097
## [147,] -2.208254898 0.244829063 1.39493556 -0.446948312 -0.084142771
## [148,] 0.199618587 -1.606668229 -0.56648477 0.211079060 1.819639955
## [149,] -3.151824202 -0.105442765 0.28680901 0.530946496 -0.974148171
## [150,] -2.581152399 1.660530129 -0.45658460 -0.913041511 -0.642489672
## [151,] -1.821212050 0.049106818 -0.42528735 0.326193983 -1.727503000
## [152,] -0.709027954 1.118219938 0.61257539 -0.562639222 0.859330817
## [153,] 1.527353442 -0.054701131 -0.07747901 0.328574008 2.559335815
## [154,] 0.134446169 0.264009802 -1.70348774 -1.428607876 -0.536373103
## [155,] 2.379419131 -0.094554298 0.55507534 -2.767771658 0.132335453
## [156,] 1.816004356 0.546117886 -3.21264766 0.454846344 0.862978356
## [157,] 0.693446059 0.977045613 0.26008812 -3.763916185 -2.021635959
## [158,] 1.637082331 -0.335000397 -2.05755169 -0.746108139 -0.416159349
## [159,] 0.296933463 1.194165867 2.60436670 -1.181630957 -0.546751798
## [160,] 0.822754284 0.670235764 -2.41335728 -1.103663683 2.312033587
## [161,] -0.918911402 0.663806963 1.18690797 -2.128116926 1.024959096
## [162,] 0.231900961 -1.270641543 -1.76967126 0.862961366 0.236368161
## [163,] -1.013939681 1.262821648 1.47304856 0.585206501 -0.098566521
## [164,] -1.772694007 0.767271176 0.63712578 0.973149028 -0.128283972
## [165,] 0.113097963 -0.357041885 0.30262585 -0.029388012 3.038456413
## [166,] 0.075576812 2.276081375 -0.14913244 0.428758735 1.958389064
## [167,] 0.477358107 -2.002383447 0.60892730 0.553159679 -0.100163895
## [168,] -1.789229364 1.010323518 -0.71414648 -0.663628669 0.826928708
## [169,] 0.719595969 -0.266957041 0.81937861 -0.376044152 -0.660229054
## [170,] -0.479345237 0.029424455 -1.25225042 1.746517856 -1.293222426
## [171,] -0.706487604 1.979788355 1.48164274 0.256635741 0.659195101
## [172,] 1.659264316 -0.669984273 -0.80889570 -0.497190062 0.868951875
## [173,] -1.053631487 0.418816948 0.64807542 0.512000760 1.171296835
## [174,] 0.439619994 1.347267284 -1.34471999 -0.491319346 2.768031869
## [175,] -1.736485551 0.889505297 3.31946123 0.301066951 -0.567055601
## [176,] 1.908193822 0.100984757 -0.40588659 1.869485714 0.234457926
## [177,] -1.025193951 -1.347023632 1.14815308 0.528994073 1.290656942
## [178,] -2.229264288 -1.622311063 -1.29643165 0.990124308 0.004899612
## [179,] 1.957225328 -0.433792361 -0.55469125 1.069085426 -1.511190662
## [180,] 1.838526733 -1.356872831 0.31115872 2.847776221 0.079447061
## [181,] 1.180112751 2.940457687 -1.22406253 -0.005852669 -1.024121550
## [182,] 1.811861750 -1.441142807 0.01690577 3.101211177 0.312426585
## [183,] -3.110670459 -0.364952154 -0.24358794 0.575227017 1.429197339
## [184,] 0.360229263 -2.696506149 -0.58357746 -1.726264724 0.050562343
## [185,] -3.223541067 -0.179218190 0.09257126 0.673772079 -0.685860956
## [186,] -2.269746579 0.759892939 -1.50517585 0.258232091 1.433596248
## [187,] 2.747577269 -0.892695063 0.37334010 -0.956311448 1.532003894
## [188,] -0.149697264 -1.642331214 -2.28814301 -1.471419303 -0.781235965
## [189,] 2.400777592 0.347128955 -1.71026348 -1.021489585 0.434261725
## [190,] 2.664155409 -1.393549647 -1.71837991 0.529051941 0.057805594
## [191,] 0.613534144 -1.458382780 0.89659577 -3.179203564 1.045150296
## [192,] 2.833005133 -1.403952109 -1.83872171 -0.412027674 0.480801518
## [193,] 3.117056920 -0.179410694 -1.10177848 -1.856855416 0.106854315
## [194,] 1.396552964 -0.642255545 0.02050933 -3.110585372 1.836705087
## [195,] -2.512642306 0.003850388 1.41044718 -1.765460899 -0.188561541
## [196,] 0.041302770 0.619388750 -0.80700898 2.078283851 1.142567875
## [197,] -0.813244847 0.880928753 -1.22887662 0.288977960 0.912007999
## [198,] 0.986709032 0.840164793 0.05264538 0.423153898 -0.837258657
## [199,] 1.252252204 0.988451934 -1.42301728 -1.323117294 1.159512551
## [200,] -0.137885258 1.481731866 1.13219939 -1.525196202 -0.559153131
## [201,] 0.136542296 1.207505130 -0.99116369 -0.216929658 1.363785406
## [202,] -1.270419897 -2.048452421 -0.26872446 -0.709046147 0.847964695
## [203,] -1.511779573 1.885698680 0.38947345 -1.030942437 -0.282150752
## [204,] 1.085397022 1.243127916 1.68487628 0.664169343 1.724253118
## [205,] -1.937338444 0.418609362 -0.03359575 0.232284332 -0.284578291
## [206,] 2.079880884 0.956433882 0.49279972 -0.166467991 -1.020841607
## [207,] -0.238660237 0.398472349 -1.03260961 0.864147837 -0.508793937
## [208,] -0.159651843 -1.132594137 -0.05598138 -1.013129749 -0.784261739
## [209,] 1.500566250 0.840189583 1.66536450 0.435082161 0.072426854
## [210,] -3.014209221 0.355964728 1.96591223 -1.080854377 -2.396209206
## [211,] -2.105058072 0.929924423 -0.80062808 -1.017803085 0.046453380
## [212,] 0.942418911 0.054526904 1.96648773 1.934291974 1.240767541
## [213,] -3.148924082 -0.594610120 -1.31041545 1.087399067 -0.793683557
## [214,] 1.878394695 2.398574133 -1.99024350 -0.062447648 -0.190863682
## [215,] 1.966715740 -0.630957885 1.05402026 1.155588169 -2.010604775
## [216,] 0.277041266 -2.759604202 -0.07945444 -2.231880620 0.846800791
## [217,] 3.171498795 -0.995402267 0.71278740 -0.251134699 -0.651266456
## [218,] 1.556928786 2.591469129 -0.66355483 -0.035006615 0.235938143
## [219,] -0.616500433 -0.513737474 0.21506585 -1.061891800 2.369939157
## [220,] -2.586211894 -0.187369377 0.72652260 -1.088595931 0.457090666
## [221,] 0.137716815 0.366509534 -0.16792988 0.543739987 0.849702117
## [222,] 0.865093182 0.844185218 -1.74842823 -1.798595288 1.737694179
## [223,] -0.913971012 0.969266395 1.97298215 -1.716775781 1.472684147
## [224,] 0.313977949 -0.945041768 -0.72531396 0.292773295 -0.288118442
## [225,] -1.072776501 0.599121897 -0.68085976 1.492600012 0.450812463
## [226,] -1.699472023 0.930082069 1.24714633 0.260609994 -0.813935347
## [227,] 0.251825578 -0.075337937 1.19428496 -0.695732642 2.249570554
## [228,] 0.014567830 2.117497330 -0.74689429 1.102971967 2.580198736
## [229,] 0.504752774 -1.860630264 1.15079860 0.009577708 -0.529532914
## [230,] -1.698692239 1.131623356 -0.33312414 -1.038468810 0.327760281
## [231,] 0.558690456 -0.191830970 0.83866091 0.887454211 0.824592143
## [232,] -0.464475998 0.564705610 0.54205784 0.907998903 -1.720403026
## [233,] -0.736607022 2.290777684 2.53098650 -0.131746814 0.602622034
## [234,] 1.791907070 -0.482831255 -0.20730594 -1.103593125 0.098407869
## [235,] -1.021622690 1.026768352 2.49920628 0.201024453 1.131623848
## [236,] 0.511871527 1.643341139 -0.30949731 -1.318210021 2.062253193
## [237,] -1.857682768 0.067118102 0.65282615 1.571807247 0.370261802
## [238,] 1.973432877 0.329461293 0.39577264 1.190688519 -0.369711578
## [239,] -0.844025398 -1.043350556 2.43615654 -1.497678287 -0.655538378
## [240,] 1.798603632 1.277822318 1.64041006 0.964305961 1.712072698
## [241,] 0.567970913 -1.465901428 -1.40821954 -1.475588124 1.328585265
## [242,] -3.128591618 -0.100406746 0.42598650 -0.002631206 -1.449540091
## [243,] 0.921300172 2.566347959 0.08444693 -0.327261230 -0.277565465
## [244,] -0.707766669 -0.140351712 0.50896513 0.494931879 0.794661098
## [245,] 0.727027732 -1.433071548 -1.59685113 0.593875654 -1.235796634
## [246,] -0.813209418 -1.199505257 0.40464481 -0.405256608 -0.735537650
## [247,] 1.137562086 1.419593842 0.28112686 -0.123186538 -0.567331492
## [248,] -1.568549443 -1.353854798 -0.38152350 1.471266594 1.164907662
## [249,] 0.206337661 -1.720761209 1.11360977 0.581416058 0.745153770
## [250,] 0.582400965 -1.654341741 -4.03720871 0.592072897 0.127026158
## [251,] 1.852485410 0.064395647 0.86057895 0.277190722 -1.725563610
## [252,] 1.069824793 0.099379354 1.64192217 1.436102237 -0.464752520
## [253,] 1.320083419 3.019301770 -0.60379759 -0.838972788 0.575723760
## [254,] 1.826416008 -1.528447714 -0.21991298 2.977344774 0.131843922
## [255,] -2.295131492 0.231836563 1.14798587 0.601866665 0.972169398
## [256,] 0.184324517 -1.188753076 0.66614989 0.264048756 2.108122913
## [257,] -3.143108851 -0.334761125 -0.41121557 0.580820285 -1.073009725
## [258,] -2.658851944 1.282851605 -1.79186198 0.149784893 0.220653288
## [259,] -1.871308247 -0.027948405 -0.67512508 0.569331753 -1.428769300
## [260,] -0.711591973 0.787827363 -0.51712533 0.015709149 1.149714717
## [261,] 1.686997211 0.200537154 0.82927435 -0.749102450 1.380292709
## [262,] -1.858110215 -0.038377392 -0.44768335 -0.780682656 -2.102146836
## [263,] -0.009983675 -1.961070989 -0.67218900 0.977524185 1.756913624
## [264,] -0.640492349 -2.449177339 -0.47626302 1.394993461 2.816254162
## [265,] -2.667743902 -0.624537600 -0.07078989 0.631216256 -1.022190383
## [266,] 2.455060778 -0.932060495 -0.13446506 0.605103847 -1.049802875
## [267,] 1.289042304 -1.784059560 -2.00134352 -1.157706179 -0.679250082
## [268,] 1.464834078 3.334018842 -0.17613207 -1.228668742 -0.968154666
## [269,] 2.198079582 -0.920094403 1.60613778 0.943922005 -0.588805903
## [270,] -2.876746306 0.339743512 2.19185099 -1.486040419 -0.507401063
## [271,] 0.060055521 -3.317302160 -2.37218122 -0.195895671 0.166259201
## [272,] -3.142504794 -0.257942521 -0.17738398 0.552812520 -1.059087544
## [273,] -2.634807935 1.168554355 -2.23638980 0.468363114 0.337151628
## [274,] 1.505301199 -0.740318106 1.46628345 1.427782791 1.331421460
## [275,] -2.740709424 0.722367627 -0.45692349 -0.908981952 -0.263057377
## [276,] 1.905774831 2.562920015 -1.43666755 -0.402881750 -0.453816513
## [277,] 2.017633169 -1.986659604 0.38967132 0.286357120 -0.144177349
## [278,] 0.099735552 -2.950607582 -0.86988372 -0.826878661 2.360250992
## [279,] 3.015656624 -1.371646389 -0.56504871 0.865577325 0.487728246
## [280,] 1.825438683 0.837995677 0.24336244 1.242694873 1.631988024
## [281,] -0.131569292 -2.296085695 -0.47529079 -2.174913004 -0.202269462
## [282,] -1.322834911 -1.037008743 -0.41131805 -1.699174863 -2.575108219
## [283,] 1.736775731 1.283284999 -1.49919175 -0.917952163 -1.119800076
## [284,] -0.592930367 0.224645288 -0.78024226 2.755903856 -0.168581495
## [285,] 1.928894090 2.708029329 -0.86288820 -1.014020749 -0.920456081
## [286,] 2.367428208 -1.947699135 -1.30903111 2.358687696 -0.378804689
## [287,] 0.290098251 -2.530916123 0.71152818 -2.701725928 0.558829150
## [288,] 3.070879292 -0.884056499 1.49195594 -0.861410776 -2.416739566
## [289,] 1.901858849 1.316866466 1.83316729 0.347207053 0.949670177
## [290,] -0.148458186 -2.510569491 -1.25163372 -1.591987828 0.190570397
## [291,] -3.160670480 -0.142895407 0.08071687 0.912125001 -0.674116273
## [292,] -0.350752444 2.762553158 -1.29900566 1.452158009 0.740670485
## [293,] -0.898366238 -0.174979956 0.55300720 1.296536856 0.308268936
## [294,] 0.861502720 -1.425901982 -1.64547390 0.420718507 -1.767384879
## [295,] -1.473211209 -1.294127913 1.01677328 0.634936076 -0.026911060
## [296,] 1.111453285 0.841309250 -1.52709178 0.333852745 -0.419205639
## [297,] -1.529405423 -1.178528936 0.25100317 0.921255092 0.711687244
## [298,] 0.258107397 -1.743891382 1.19553857 -0.139263124 0.027543069
## [299,] -1.904656129 -0.528637935 -1.18196439 1.415971336 -1.132951811
## [300,] 1.848956846 0.029663156 0.79616089 0.147726816 -1.830864913
## [301,] 1.150509115 0.284559833 2.21074344 1.095715426 -0.877160551
## [302,] 1.152918867 3.108695777 -0.10406543 -0.443281716 -0.231421332
## [303,] 1.932277477 -1.124180447 1.11643983 2.110205036 -0.653007261
## [304,] -2.222289178 0.217516381 1.31604101 -0.408380875 -0.025831892
## [305,] 0.309135098 -1.125563191 1.01347625 -0.729745122 1.004636281
## [306,] -3.290318919 -0.773981843 -1.92760392 1.864300336 0.137285445
## [307,] -2.664442991 1.297484746 -1.64793851 -0.204320402 -0.026482672
## [308,] -1.831829290 0.042083823 -0.43588975 0.322802182 -1.701712188
## [309,] -0.648431973 1.114788359 0.51649880 -0.439377745 0.770588458
## PC6 PC7 PC8 PC9 PC10
## [1,] 0.7182594090 0.0900371245 1.051744451 -1.937650817 0.4989633841
## [2,] -0.6772550951 1.9777064114 -1.557168739 -1.216866754 -0.5305604825
## [3,] 1.1916488129 -1.2195053227 -0.411285727 -0.323523971 -0.1148162874
## [4,] 1.7403584683 0.6091639642 0.258612735 -0.654105790 -0.2130147794
## [5,] 2.1847893962 0.2198466952 1.845426766 0.627204075 -0.6014890431
## [6,] -0.2480383908 1.4550678660 0.483870124 0.558138013 -0.2014692509
## [7,] 0.9965416546 -0.8530147261 0.684045214 -0.285018564 -0.7811912336
## [8,] -0.5055130553 -0.4251606584 -0.227317424 1.333349131 0.1917601304
## [9,] 1.1709683751 0.1970313925 -1.162926497 0.312410711 -1.0231229714
## [10,] -1.4206369931 -0.3235588013 0.045516341 0.241215288 1.0354175725
## [11,] -0.9877439635 -0.2335341620 0.675723070 -0.141706192 -1.1092713774
## [12,] -0.7610221388 0.7783351846 -0.103927236 -0.972945187 0.3836599781
## [13,] 0.7356356660 -0.1182467785 -0.538078442 0.115259335 -0.8498243779
## [14,] -0.3303380494 -0.4144204301 0.078712304 0.509575391 -0.1786395470
## [15,] 0.8668959754 0.1542886143 -0.441232526 1.201097550 -0.7763798784
## [16,] -1.0582597188 -0.7242179155 1.600738198 0.810017235 0.0978269150
## [17,] -0.5049244711 1.7816022095 -0.061502145 0.001210227 -0.9101287848
## [18,] 0.1840838476 -0.0442652608 -0.003095435 -0.819714203 0.2257921571
## [19,] 0.4184360878 1.5182832851 -0.362960279 0.678886989 -0.0700320345
## [20,] -0.1026575213 0.1029842000 0.139143879 -1.173656688 0.0186207447
## [21,] -1.1480175988 -0.8296570774 0.839375250 -0.234943802 -0.0825857254
## [22,] 1.3263081293 -0.4222197926 0.444424752 1.718445639 -0.4170879515
## [23,] -3.4638911787 -2.6363622952 2.172674109 1.263816491 0.8334590948
## [24,] -0.0004180954 -0.1158383494 -0.076506354 0.541266927 -0.3670905070
## [25,] -0.2750442777 0.9287661421 -0.325823814 0.423680522 -0.5182746874
## [26,] 1.0816548676 0.0640144973 1.274308400 -1.764172546 0.3344585771
## [27,] -0.2832546918 1.2360719838 -0.187090224 0.315365054 -0.0554968227
## [28,] 1.3433206731 -0.8591849926 -0.936163793 -1.220062630 0.4830794498
## [29,] -1.6799924024 -0.0281633721 2.156630368 -1.020784884 -1.1447949606
## [30,] 1.0710626285 -1.3284110672 1.834728862 -0.381994526 0.6811806747
## [31,] 0.8185042829 0.1595997123 0.965113863 0.982824838 -0.1867421466
## [32,] -0.5116245789 0.2213173362 0.411993823 -0.538385421 -1.0926900877
## [33,] 1.2290071541 0.4714686091 1.461225803 -0.325889829 -0.2473663898
## [34,] -0.0646666045 2.2433620737 0.710404490 -0.950511191 -0.7809675133
## [35,] 2.4754853111 0.2893439181 0.923999043 -0.982576123 0.6579637222
## [36,] -0.1422025234 1.3713987956 1.491799348 -0.266482715 -1.0176272530
## [37,] 0.8160953361 0.5636397794 2.230793234 -1.029467745 0.4891853321
## [38,] -0.3534221454 -0.7417774978 1.638132555 -1.319142919 -1.6484147935
## [39,] -0.1721706898 0.0335387929 1.024852681 -1.148675650 -1.2064988678
## [40,] -1.1755253233 -0.3055779800 0.531840085 0.641114542 -0.3585174104
## [41,] 0.3339185093 1.5334741172 -0.742220999 0.397824082 0.6322714144
## [42,] 0.1743686979 -2.4061791305 -1.430371076 -0.412504818 -0.2390151804
## [43,] 1.0164937988 0.2833156337 -0.990443898 -0.608638156 -0.8755992881
## [44,] -0.6089020677 -1.6271801419 -0.979063296 0.261435435 -0.0709340761
## [45,] -0.2960954667 -0.0609937498 -0.506122202 0.560648901 -0.3045133671
## [46,] -0.4779798997 0.7123433988 -0.252310393 -1.474850571 -0.4690179776
## [47,] -0.5681313101 1.8002197935 0.989506417 0.151660074 0.5940115661
## [48,] 0.0650024003 -1.6861801155 -0.882564748 0.225197238 -0.6288864935
## [49,] -1.3100505736 0.3797064291 -1.171015537 -1.344665437 -0.7421368508
## [50,] 1.3420468766 -0.3811321637 -0.227571574 -0.652518402 0.3433578516
## [51,] -0.8400332772 -1.4635314100 -1.078142846 0.099897456 -0.1895171928
## [52,] -0.8236403909 1.1294305256 0.840477295 0.190213575 -0.6073655522
## [53,] -0.7293181061 -2.1049759827 -1.159698724 1.358785707 -0.9020524475
## [54,] -2.3456226474 -1.5198752771 0.052128540 -0.129470207 -0.1026399486
## [55,] -0.8361005036 -0.9337361769 -0.234221327 1.426062323 1.7765311821
## [56,] 0.6763606802 0.0390138240 2.563417845 0.722616967 -0.3790244685
## [57,] 1.6946080427 0.0698616819 -0.534759032 0.043136450 1.5033693120
## [58,] -0.3582806110 1.6811886957 0.042283265 -1.182450667 0.7849571961
## [59,] -1.3495183401 -2.2578695319 1.090262317 -2.250237313 1.0030432414
## [60,] 0.2690629341 1.1554971565 -1.160881822 0.832217716 1.6653117813
## [61,] -0.7234518984 -0.6127871702 -0.742339680 -0.649836684 0.8693699595
## [62,] 2.7376481997 0.5069278238 1.443017228 1.237888114 0.4514609616
## [63,] 1.4658335990 -0.9257069648 -0.898460096 1.182587630 0.7225827545
## [64,] -0.3455726719 0.3440809009 0.421923404 -0.198799051 -1.7624832578
## [65,] 1.0291862289 0.3015066007 -0.973691647 0.197857462 1.1499283042
## [66,] -0.8641232698 -0.0765569415 -0.652176582 -0.405376799 -0.8177445459
## [67,] -0.8224879637 0.4260268121 1.467835590 0.414959404 0.5598897961
## [68,] 1.4683182389 -0.1736121977 0.029019490 -0.125692739 -1.4472406140
## [69,] -1.1647333718 1.0018628504 -2.021014782 0.026036013 0.7065863902
## [70,] 0.7122713714 0.4831732842 -0.770951147 0.048311261 -1.3917275625
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## [270,] -0.3740756655 0.0417266096 0.932044033 -0.273332092 0.2768452963
## [271,] 0.4032019324 0.2527873889 -1.136724346 -0.363677374 -0.7277646423
## [272,] -0.0441355087 0.0294030664 -0.262150079 0.441155012 -0.3627821102
## [273,] 0.3577792653 -0.4086229346 -0.083707788 1.279164475 -0.4796391971
## [274,] -1.5531806436 -0.3803915162 0.949686923 0.343125451 0.2926302275
## [275,] -0.8756634804 0.4962594512 1.171716745 0.439440455 -0.5907452008
## [276,] -0.0669921990 0.2226560485 -0.428683876 -0.958918591 0.3034629867
## [277,] -0.3019960188 0.7735920022 0.079229910 0.654463086 0.3520907959
## [278,] 0.4308091328 1.8659576704 -1.545778625 -1.887880264 -0.4217303502
## [279,] -0.7519674960 1.2586366080 -1.278552065 -1.119937175 -0.5003505269
## [280,] 0.5227459304 -1.1517873688 0.828307407 1.701901555 0.0377575323
## [281,] -1.2891964728 0.7268513687 -0.413380030 0.633575030 -0.5561705670
## [282,] 0.0072723101 0.1177275082 -0.650013848 0.271424375 0.5749921706
## [283,] 1.3745317270 -1.0682943337 1.842989199 -0.939231198 1.3300725948
## [284,] 0.3001583816 -0.6476922795 1.653718382 -1.711975445 0.7720718709
## [285,] 0.0608953430 -0.0522280140 -0.057624847 -0.829450762 0.2804388426
## [286,] -0.3793650617 -0.7280509615 0.123139185 0.461371200 0.5299479216
## [287,] 0.4851285995 0.5384871928 -0.034959347 -1.162760972 -0.2992416890
## [288,] 0.7206171053 -0.5881867306 0.011350392 0.249568814 -0.3876300550
## [289,] 1.2655471357 -0.6204720310 0.636573907 1.855271946 -0.3714336955
## [290,] -1.6098224177 0.6667855015 -0.514808749 0.565964376 -0.4048883452
## [291,] 0.3830414208 1.0109341013 -1.123266595 0.241569021 -0.6783633899
## [292,] -0.6782178362 1.3000455823 0.767054107 0.198642605 -0.6140196286
## [293,] 1.6844910775 -0.0002079914 0.603823492 -1.555022296 -1.0310973402
## [294,] -1.1399821131 0.5706408517 0.225131480 1.006080236 1.1212419211
## [295,] 1.2939157922 -1.0000212360 -0.805579220 -1.173390048 0.5219335656
## [296,] -1.5209166720 0.1111558629 2.082635517 -1.083053578 -1.2292044177
## [297,] 1.7354934370 -0.5086166346 1.274213378 -0.507815962 0.2828894521
## [298,] -1.7703871607 -1.0686169716 0.945636813 1.981196497 -0.0611704156
## [299,] 0.6019869525 -0.0363752051 0.421560655 -0.836265536 -0.6174102949
## [300,] 0.4477745716 0.6016858070 -1.070264315 0.420841396 0.3475341540
## [301,] -1.7409282983 0.6768220842 0.003313970 0.460084373 -0.4587245723
## [302,] 1.0154864475 -0.0985800207 -0.643518629 -0.004429237 1.5584108132
## [303,] 0.4923718799 -0.3707895537 0.066845323 0.432132091 -1.1977180848
## [304,] -0.8242134745 -0.2005517233 1.866263998 -0.162230166 1.2491918924
## [305,] -0.5806708637 -1.0993056715 -0.071064434 -0.836025698 0.2882833788
## [306,] -0.5943934264 0.1107253930 -0.653395882 0.019173765 -0.1081640853
## [307,] 0.5500102538 -0.6588696646 0.287068731 1.294093947 -0.5254052273
## [308,] 0.4272639574 1.5292324864 -0.687199135 0.451762489 0.5889517563
## [309,] 0.5268382605 -2.2511204799 -1.404420153 -0.130277486 -0.4341384337
## PC11 PC12 PC13 PC14 PC15
## [1,] 0.420523565 0.4334820544 0.016896184 0.568431041 0.4383575733
## [2,] 0.462308125 0.3986804449 -0.218844308 0.061830934 -2.0687208915
## [3,] -1.315721292 -0.6118901582 -1.234182675 0.374500028 0.7773050725
## [4,] -0.036031283 -0.2638657935 -0.338447239 0.010300783 0.5421504516
## [5,] -0.912182701 -0.4352120930 -1.415924824 0.029107293 0.2282780957
## [6,] 0.006675664 1.2983623838 -0.206751142 -0.234096001 -0.6232337130
## [7,] -0.681612182 -0.4367979407 0.627895778 -0.126860747 0.5778337358
## [8,] 1.570297126 -0.3494589711 -0.224076737 0.307935702 -0.1791024816
## [9,] 0.588029356 1.3889527245 0.379929206 0.698899496 0.2331253689
## [10,] 0.013843135 -0.3935900740 0.183078896 -0.531951622 -0.0795574606
## [11,] -0.393455043 -0.8581065623 0.256269265 -0.857916040 0.0129291768
## [12,] 0.012211427 0.7468853985 0.391100484 0.158685593 -0.2626260427
## [13,] 0.249502857 0.0929055090 -0.044637030 0.616334219 -0.0808919597
## [14,] 0.108202924 0.0621200579 -0.074766804 -0.009759719 0.1656639689
## [15,] -0.894184802 0.6667391909 -0.134044309 0.395128230 -0.5965953711
## [16,] 0.908454725 -0.2179462237 0.185976081 -0.004498742 -0.4711337983
## [17,] -0.992433913 -0.7479697500 -0.485089739 -0.584556336 -0.1028938720
## [18,] -0.796874258 -0.9948424816 0.538850685 -0.867448372 0.4749865902
## [19,] -0.844001807 -0.4463708756 1.628548810 -0.604924292 0.2536040792
## [20,] 0.320441162 0.1598941284 -0.096108696 0.385799068 -0.0495534724
## [21,] 0.467789803 -1.2219438435 0.249408139 -0.731181079 0.4061416274
## [22,] 0.411759401 -0.2953011717 -1.528031755 0.251766287 -0.3967280920
## [23,] 0.951863976 -0.0769681900 -0.219517073 0.120893372 -0.3421600285
## [24,] 0.095539826 0.0651550583 0.029651045 -0.012197733 0.1471579650
## [25,] -0.734840381 -0.7561054781 -0.278001541 -1.273542765 0.0662511665
## [26,] 0.494253801 0.0829017276 -0.087042222 0.335995178 0.6686192208
## [27,] 1.219675724 0.3473208400 -0.118633159 1.409979591 1.0286389588
## [28,] -1.041488146 -0.2161509584 -0.829347522 -0.448322267 -0.2646588750
## [29,] -0.837946225 0.2926483701 0.133017998 1.000956763 0.8888048793
## [30,] 0.404992386 0.1465291483 0.689510060 -0.526647777 0.4152453066
## [31,] -0.863377283 0.8313440043 0.490013777 1.143399608 -0.8880189012
## [32,] 1.135636716 -0.4148927197 -1.304990553 0.638676216 0.2022641052
## [33,] 0.828808911 -0.6314252501 -0.319879928 -0.179981187 -0.9960511402
## [34,] -1.045951865 0.0668733975 -0.398041733 0.851525389 -0.2799188786
## [35,] 0.009148572 0.9825179146 -0.693330830 0.687387035 -0.9228988259
## [36,] 0.003684991 -0.4452323697 0.131529168 0.435770915 -0.5539587221
## [37,] -1.864892347 -0.2768934238 -1.318510710 -1.321186730 -0.2473171349
## [38,] -0.021480573 -0.3037972350 -0.919328509 1.015139336 -1.1288114460
## [39,] -1.480099028 0.0080071951 -0.864049795 -0.975689884 -0.4962413909
## [40,] -1.149182018 0.1416856598 -0.300607468 -0.552503014 -0.3531137163
## [41,] 0.806124346 -0.1179494334 0.638998799 0.611840391 0.4739033034
## [42,] 2.023023934 -0.1990796775 -0.721549002 -0.445591628 -0.3057797375
## [43,] 0.118601406 1.1488752332 1.127125769 -0.819164504 2.0210436648
## [44,] 0.370000163 -0.3286131012 -0.391529217 -0.756123983 0.9131450099
## [45,] -1.614973464 -1.2134306509 1.337189896 0.479254455 -0.7940825244
## [46,] -0.822660699 -0.5381476425 1.351054267 -0.871938739 0.2867008044
## [47,] -0.825820015 -1.4698517789 -1.565778171 -0.912485003 -1.6294596013
## [48,] -1.665852215 0.3708029720 0.525802391 0.726885898 0.2313883640
## [49,] 1.008512627 -0.1394632519 -0.443699967 0.933724085 1.2044084929
## [50,] 0.400890266 -0.8467778863 1.276292343 -0.515240987 0.6590492803
## [51,] -0.203704842 0.7304241801 -0.305652649 0.014290211 1.4018728347
## [52,] 1.318968269 1.2676593358 -0.089367897 -2.200932157 -0.0105380974
## [53,] -0.471740318 0.0747768687 0.312992783 1.462436004 -0.3283840429
## [54,] -0.248509625 -0.7626119578 1.151848027 0.102037854 -1.1656168492
## [55,] 0.059631997 -0.3422837836 0.631467132 -0.430910715 0.7213219035
## [56,] 1.187959690 -0.3529930654 0.325920926 -0.635921694 -0.3963700610
## [57,] -1.516700646 -0.5463492685 -0.689798999 0.290699987 0.6539578856
## [58,] 0.063045575 -1.5632941214 -0.689317295 0.965257941 -1.1668081449
## [59,] -0.585555242 0.3180404088 -0.613800091 -1.021079901 -0.7911169580
## [60,] 0.168377749 -0.6514696533 0.427877290 -0.691209791 1.1214395016
## [61,] -0.303937921 0.2195102429 -0.177772012 -0.966847954 -0.4534468747
## [62,] -0.370589642 0.1881359754 -0.404935737 0.616217247 0.3213906647
## [63,] 0.562045314 0.6087100581 0.546564854 -1.127522933 0.0423631652
## [64,] 1.562104579 0.1679151372 -0.759164794 0.914358164 0.4221507490
## [65,] -0.307419099 0.5669386920 0.323913746 -0.248765411 0.2401093667
## [66,] -1.800555798 1.2416865299 0.546191663 0.025603755 -0.4886964204
## [67,] -0.780803530 0.9680464791 -1.154511320 -0.234018960 0.2106001542
## [68,] 0.243501794 -0.7449588229 0.901164989 -0.639258371 0.2572572643
## [69,] 0.318511999 0.9865425504 -0.724604727 1.167513640 -0.3950871256
## [70,] -0.155695975 -0.3662381423 -0.090378760 -0.082046491 -0.1027064113
## [71,] 0.395563837 -0.6353653669 -1.046143203 -0.395446609 0.4200325778
## [72,] -0.132154535 -0.2768798130 0.554030785 0.187167051 -0.2955056307
## [73,] 0.118025861 0.2219809439 0.236114510 -0.198690863 0.0834334297
## [74,] -0.140563287 0.1228052652 0.164854143 0.040425323 -0.2375809416
## [75,] 0.089152229 0.0810432184 0.008917707 -0.013010484 0.1426505796
## [76,] 0.252996727 -0.3221551566 -0.043456885 -0.401261618 -0.4983860014
## [77,] -0.193686281 0.1925570034 -1.200835531 0.027174662 0.0545096490
## [78,] 0.225428911 -0.5317507356 -0.751995565 -0.518521957 0.6561825798
## [79,] -1.038563904 0.1303494327 1.505910954 -0.006619541 -0.3864339587
## [80,] -0.999779797 -0.4491545309 -0.203159284 0.890661824 -0.0687494212
## [81,] 0.736805720 0.0931148821 -0.548849539 0.929741566 0.1710456599
## [82,] 0.331212303 -0.6604685218 0.483127310 -0.383953382 0.0299625586
## [83,] -0.494038249 -0.1809526966 -0.693029162 -0.321202640 1.2130307510
## [84,] -0.247720716 -1.9830952857 -0.064812692 0.673317030 0.2488693728
## [85,] 0.293303760 -0.2526473413 0.760814035 0.442096802 -0.2483130580
## [86,] 0.854198843 -1.0578870797 0.246599297 0.268291758 0.0528875299
## [87,] 0.019427201 -0.7472741460 -0.315263937 -0.339431116 0.8530010449
## [88,] 0.515099491 2.2369077013 -0.708746469 -0.099849514 -0.4085056983
## [89,] 0.396677405 1.0281156094 1.251735506 0.365048538 0.6113069945
## [90,] -0.196958743 0.1727445012 -0.175979624 0.251242033 0.3075061692
## [91,] -0.908803697 -0.4641643806 -1.195676014 1.524708105 0.6341433167
## [92,] -0.459819133 0.2415520696 -0.701715520 0.943060828 -0.4390341268
## [93,] 0.577211676 0.8769549835 0.467237575 -0.293414270 -0.7410211870
## [94,] 0.376024108 -0.5759689750 0.918623238 1.180562016 -0.2256674920
## [95,] 0.376550480 -1.1251383134 0.986458836 0.529105777 -1.1761631521
## [96,] 0.256931250 1.0610395622 -0.053629478 0.064945845 -0.5656595143
## [97,] -0.478982591 -0.4067158254 -0.469145662 1.271401627 1.3387050869
## [98,] -0.564062512 -3.0245294479 0.224081729 -0.554508893 0.2526254534
## [99,] 1.600824809 -0.1890302916 -0.476698915 -0.651020429 -1.1351435908
## [100,] 0.031125975 0.5189074993 0.558725281 0.430966100 -0.2377379712
## [101,] 0.197998438 0.0167154008 0.111369110 -0.132114611 -0.7366617528
## [102,] -0.232379694 0.3170869111 -1.303548212 0.056202797 0.0039380143
## [103,] 0.097994130 -0.0417656755 -0.142942833 -0.152476705 0.2511952063
## [104,] -0.978807594 -0.0232077362 1.024213559 -0.137775845 -0.2087744303
## [105,] -1.037444131 -0.2112538879 0.033504034 1.106887063 -0.2613662304
## [106,] 0.297656183 0.2983409313 0.139191347 0.529135533 -0.1804720323
## [107,] 0.267943255 -0.4792219363 0.621133158 -0.299252011 -0.0977380566
## [108,] -0.528340518 0.1251328831 -0.768143809 -0.088742811 1.0350856613
## [109,] -0.142842041 -1.8814894234 0.895453078 1.186341067 -0.0392106502
## [110,] 1.032007126 -0.3873793935 -0.816200335 -0.424840010 0.8279075380
## [111,] 0.481548479 0.3114823182 0.292619651 0.622543704 0.4464357392
## [112,] 1.559874683 0.5833313450 0.424954703 0.585170837 0.0450815216
## [113,] -1.510634671 0.2747947549 -0.496823920 1.038737062 0.1047037030
## [114,] -0.115316858 0.2975403823 -0.012049023 0.494542530 0.1300361673
## [115,] -0.188075600 0.8888540550 1.141636781 0.988710888 0.6328114784
## [116,] 0.056360617 1.0870240618 -0.357582970 -0.380795621 -0.4688026328
## [117,] -0.731441650 -0.2534189793 0.607429918 -0.043427608 0.4755427006
## [118,] 1.575533621 -0.3750519323 -0.273590252 0.282372467 -0.1540428813
## [119,] 0.002893875 -0.6734814665 -0.163531606 -0.087412681 0.0663117691
## [120,] 0.446413642 -0.1277354242 -0.996326871 1.533737482 0.9768585655
## [121,] 0.267340266 -0.5660987518 -0.007395508 -1.279686466 -0.7323835988
## [122,] 0.046445956 0.7468656629 0.483713407 0.247944485 -0.2913995915
## [123,] 0.909000719 0.0897831534 1.177838651 -0.947387266 -0.3197825387
## [124,] 0.629823071 0.2879453770 1.029217109 -0.552474310 1.3399238865
## [125,] -0.794056705 0.3317744877 0.355197311 1.018422844 -0.9907731226
## [126,] 0.622477115 -0.5249701939 -0.121688716 -0.490384411 0.5245018888
## [127,] -0.751432612 0.0410632906 0.737055324 0.247121500 0.2607815840
## [128,] -0.909917129 -0.3612919060 1.024192187 -0.346690172 -0.0056423842
## [129,] 0.154926058 -1.4391681156 0.274585841 0.185280098 -0.0479047276
## [130,] 0.270625145 0.3443025149 0.360694788 0.564730189 -0.2459314922
## [131,] 0.748888428 -0.7342885254 0.021271498 0.153580439 0.2566140136
## [132,] 0.292263416 0.4171591028 -0.584429409 0.931877149 -1.0174449090
## [133,] 0.632725753 0.7066884287 0.401761592 0.397497447 -0.8849132904
## [134,] 0.082412656 -0.1684765550 -0.870702276 -0.460534180 0.4826390917
## [135,] -0.499571994 0.8084684685 0.725699554 -0.085896325 -0.8420581965
## [136,] 1.781096755 -0.8817805695 0.475251084 0.458090033 0.1610472198
## [137,] 0.486212420 1.2972806649 -1.259504124 0.426123376 0.9838162454
## [138,] -1.052839007 -0.1033355495 -0.698800981 -0.328668481 -0.3616124824
## [139,] -0.827117215 0.0825104158 0.688979321 0.914761849 0.9162253019
## [140,] 0.311282220 0.4158344275 1.270788526 -0.325763084 0.1517838075
## [141,] -0.612991740 -0.2019474897 0.355503758 -1.244776480 -0.2495189658
## [142,] -0.114333649 -0.0227009135 0.406267180 -0.010405241 1.2048803881
## [143,] 1.878384008 -0.2393013201 -0.157397029 -0.808686716 -0.9757275257
## [144,] -0.607143298 0.1189496401 -0.477891520 -0.166257131 -0.2144755379
## [145,] 0.739290331 0.2381621476 -0.765082706 0.684180982 -0.0171179900
## [146,] -0.145260843 -0.1348441116 0.432561804 0.283733600 -0.3620050869
## [147,] -0.086011284 0.5618417957 0.276456518 -0.770593330 0.3672118599
## [148,] 0.160227162 -2.1881068236 0.902234343 1.106876115 -0.0786894943
## [149,] 0.031317302 0.1911905163 0.005616693 -0.018958445 0.0881407007
## [150,] -0.726166472 -0.0431326938 -0.531473520 -0.073684909 -0.0995940026
## [151,] 0.789761746 -0.0174189036 0.847593039 0.723763015 0.3713978512
## [152,] 2.037954543 -0.2982559638 -0.565114272 -0.486874526 -0.2751620212
## [153,] 0.128639109 1.2161735687 0.908866917 -0.771517783 2.0159239490
## [154,] -1.533056562 -0.7886853127 -1.578448855 -1.027067669 -0.1558162169
## [155,] -1.799206424 0.3517339788 1.006613812 -0.511938750 -0.6690267496
## [156,] -1.745772166 0.6357702258 -0.328529303 -1.535686219 -0.0084052138
## [157,] -1.727595126 0.2096404580 -0.379922081 -1.631281664 -0.3556658255
## [158,] -2.376585351 0.8935729172 -0.498587445 0.560593037 -0.1535818719
## [159,] 1.005679461 0.1691497143 0.301254883 1.396244152 0.8544999510
## [160,] 0.358603585 -0.7299125978 0.855931458 -0.564462146 0.6768503139
## [161,] -0.118277128 0.3147405380 -0.961954969 -0.370877751 1.7798329478
## [162,] 1.322369895 1.3216155305 -0.328367399 -2.185022759 -0.0006690793
## [163,] -0.490946417 -0.2477650604 -0.394734903 0.947105811 0.0303566101
## [164,] -0.323505427 -0.7698571887 0.749456412 -0.140540080 -1.0586996402
## [165,] -0.024775395 -0.2833212994 0.373770439 -0.595502381 0.7588735967
## [166,] 1.096750958 -0.0400292467 0.109174495 -0.542275847 -0.5334434028
## [167,] -1.665107558 0.3814373406 -0.019691055 1.080792101 -0.0472712677
## [168,] 0.121517841 -1.6336033878 -0.593843975 1.032200983 -1.1569982511
## [169,] -0.549889731 0.1712785672 -0.611523409 -1.099377267 -0.7051790987
## [170,] 0.173090442 -0.3460925249 0.765095255 -0.297061213 0.8511220659
## [171,] -0.322702786 0.6536319167 0.791574771 -0.362402839 -0.9256792672
## [172,] -0.393904330 0.4091380943 -0.259342542 0.826594309 0.1533518369
## [173,] 0.637843045 0.5151152191 0.641350658 -1.049027385 0.0623796356
## [174,] 1.556299335 0.2068648506 -0.920435851 0.910946304 0.4296449544
## [175,] -0.362008509 0.8741466793 0.951553236 0.081808646 -0.0697876936
## [176,] -1.710189519 1.0325347910 0.412329823 -0.031140234 -0.3517095595
## [177,] -0.909995025 1.4121049162 -1.210938149 -0.051017509 -0.0331009714
## [178,] 0.239525689 -0.6413809846 0.822266920 -0.555354028 0.2051302279
## [179,] 0.545524019 0.0655601494 -1.438160622 0.538839358 0.2856419443
## [180,] -0.124850377 -0.3876590948 -0.089921253 -0.040303164 -0.0981735864
## [181,] 0.403768501 -0.5956669180 -0.734455947 -0.275493242 0.3301105084
## [182,] -0.132930313 -0.3766394866 -0.187203238 -0.064829097 -0.0839396096
## [183,] 0.016270698 0.7615497571 0.333919451 0.171045051 -0.2624416848
## [184,] -0.224043337 0.2646391701 0.570084353 0.095086855 -0.3850995679
## [185,] 0.147757152 -0.4780702868 -0.895359681 -0.652032973 0.6727709000
## [186,] 0.193616175 -0.4240181500 -0.498121267 -0.720241421 -0.3232495839
## [187,] -0.034761097 1.1457298699 0.586766276 -0.625570708 0.6892305938
## [188,] 0.504482451 0.5496962695 0.060856072 -0.847121852 -0.7707882356
## [189,] -0.650616269 -0.1605567900 0.414551028 -2.110531901 -0.1496008604
## [190,] -0.182798626 1.6411241358 1.044213913 0.110493834 0.2288751125
## [191,] 0.095969948 0.8016115611 0.042308039 0.010436164 -0.1049633741
## [192,] -0.366156628 0.7496332500 0.768361136 -1.091461924 0.7148505058
## [193,] -0.946409204 -0.3152183738 0.150414025 -1.053778779 0.7113997225
## [194,] -0.855672835 -0.9830093268 -0.905832846 -0.409623569 0.1492982261
## [195,] 0.325176088 -0.6070675912 0.367549686 0.061677189 0.0541561124
## [196,] 0.794881574 -0.8748651352 -0.084748319 0.270197773 0.0146265993
## [197,] -0.066920247 -0.1862714119 0.098864439 0.147105215 0.4261859754
## [198,] 0.570324710 2.0238937521 -1.044359363 -0.273356272 -0.2185264856
## [199,] 0.425186441 0.6429611071 0.491994328 -0.126800674 1.0069575413
## [200,] -0.309246961 0.7596944788 0.686920137 0.799763529 -0.2162877586
## [201,] -0.926207624 -0.3478009217 -1.355300510 1.578113090 0.5935029616
## [202,] -0.435040531 0.4237204416 -0.745279545 1.175313970 -0.5592385296
## [203,] 0.452443320 1.0957245385 0.142243809 -0.388730863 -0.7838865288
## [204,] 0.419772768 -0.9714967884 0.485821261 0.774175656 0.1081471239
## [205,] 0.175739436 -0.6851285663 0.715121492 0.516934869 -1.3528110796
## [206,] 0.353103360 0.5024938497 -0.823726838 -0.469077034 -0.0738754850
## [207,] -0.616674826 0.1076888698 0.048842036 1.623576983 0.9385118280
## [208,] -0.932014894 -2.3782729327 -0.056710547 -0.746252808 -1.0047732584
## [209,] 1.560076315 -0.0806846266 -0.101208215 -0.548504487 -1.2679059152
## [210,] 0.177987430 -0.3405525381 0.069584376 -0.255456285 0.3831698686
## [211,] 0.290925203 -0.4797676870 0.097365997 -0.458753115 -0.4330577300
## [212,] -0.197654486 0.2195844532 -1.364133168 0.014767142 0.0697480723
## [213,] 0.033115596 0.4977976943 0.277185030 0.357443913 -0.1692388424
## [214,] -0.986944360 -0.0632916842 1.195268464 -0.162507838 -0.2130873890
## [215,] -0.885201565 -0.8401300969 -0.235047500 0.715123819 0.1615237371
## [216,] 0.348346118 -0.0255630837 -0.265224647 0.217261282 0.0980469217
## [217,] 0.219225392 -0.3749311471 0.813013327 -0.253789639 -0.1893930475
## [218,] -0.580699335 0.4949571942 -0.222702935 0.295336073 0.6989844827
## [219,] -0.324346284 -1.3337935698 0.998841732 1.400331616 -0.3667381814
## [220,] 0.292793239 -0.5584445302 0.117974067 -0.004227517 0.0807831232
## [221,] 1.022770651 0.1527312235 -0.371180305 1.281589722 0.9916750779
## [222,] 0.465861696 -1.1847956071 0.607637361 -0.864458757 0.9942057110
## [223,] -0.424516730 1.4748814174 0.145181171 0.420214420 0.8878891898
## [224,] 1.236438417 1.7300181032 0.383479681 -1.797487236 -0.3845053731
## [225,] -0.426387323 -0.2842011807 -0.688413707 0.984933178 0.0919241125
## [226,] -0.263850500 -0.9207747960 0.901682146 -0.143776831 -1.0068171990
## [227,] -0.162814971 0.5436072760 1.690537431 0.239060114 -0.0051335613
## [228,] 1.026434521 0.1900517074 0.077777001 -0.454886610 -0.6582377293
## [229,] -1.572773111 -0.0312910426 -0.288500239 0.789657126 0.2507442514
## [230,] 0.036653223 -1.0775967170 0.277635073 1.607073041 -1.6704573397
## [231,] -0.760711421 0.5801334609 -0.853926932 -1.158985637 -0.8636755088
## [232,] 0.224797306 -0.8638491677 0.369310689 -0.806783880 1.2564088524
## [233,] -0.256109481 0.0813377143 0.160075683 -0.944625884 -0.4426724802
## [234,] -0.500478173 1.1402854283 0.940682998 1.603648258 -0.5339839208
## [235,] 0.420557609 1.1757651232 1.405814095 -0.660944846 -0.4584058641
## [236,] 1.601474335 0.0329770609 -0.786863332 0.850110349 0.5049464856
## [237,] -0.245442814 0.5299043586 0.123567074 -0.198453838 0.2846141257
## [238,] -1.677910380 0.9370002172 0.587961195 -0.028877664 -0.3326711026
## [239,] -0.615963168 0.4614410046 -1.373119458 -0.462593734 0.5385699125
## [240,] 0.346190183 -0.1741353115 -1.640682285 0.219620922 -0.4347494070
## [241,] -0.237700953 -1.8269571358 -1.733722502 -0.868267167 0.0739759153
## [242,] 0.189743967 -0.4365589058 -0.484810381 -0.440615878 0.5517758465
## [243,] -0.157734030 1.3944431466 -1.315420940 -1.163315747 -1.0278137201
## [244,] 1.482778302 -1.2292871843 0.735433828 -0.310230712 0.2165680484
## [245,] 0.458353115 1.2794759823 -1.481894590 0.305867734 1.0478414078
## [246,] -0.561798075 1.1599444136 -0.106549811 0.174440364 -0.5614477491
## [247,] -0.904030686 0.1899898851 0.077693633 0.746239059 0.9884091324
## [248,] 0.367306846 0.0797105468 0.421658844 -0.727251810 0.5237866907
## [249,] -0.771447964 0.3220145131 0.421694621 -1.015059403 -0.5611796464
## [250,] 0.891226655 1.8559091541 1.012247198 0.055194895 -0.9096856467
## [251,] 1.865768690 -0.2969116509 -0.060634134 -0.875628676 -0.9524645024
## [252,] -0.460426027 -0.7028922394 -1.480131889 -0.915330523 0.4818986921
## [253,] 0.383069666 0.0729546428 0.084302734 0.102023258 -0.1799652501
## [254,] -0.073701024 -0.5385788237 -0.284734897 -0.129813506 0.0242731252
## [255,] -0.316718368 1.3263872034 0.646147689 -0.380331569 -0.1411549227
## [256,] -0.020055754 -1.7066672359 1.308291456 1.314337165 -0.4218148172
## [257,] 0.099230582 0.0633414172 -0.089809685 -0.030062396 0.1705910065
## [258,] -0.814719325 0.3554712920 -0.482169057 0.167179178 -0.3464488494
## [259,] 0.827465657 -0.2784515308 0.408041681 0.443426503 0.6190726633
## [260,] 1.969911006 0.1981480175 -0.131559676 -0.025757074 -0.6685676214
## [261,] 0.120692741 1.5520772439 1.851214993 -0.252163607 1.6108503758
## [262,] 0.382435126 -0.0915046435 0.031776181 -0.399960814 0.6689254912
## [263,] -1.094660807 0.5313274642 -0.723942851 0.793217363 -0.4923627949
## [264,] 0.077558875 1.0730493255 -0.864140025 -0.451585611 -0.3669914933
## [265,] -0.792476333 -0.1982225738 0.358157169 -0.161823863 0.5066678723
## [266,] 1.553818534 -0.4152766906 -0.754771835 0.100342799 -0.0263940820
## [267,] 0.786240415 0.5920760463 -0.296554785 0.146965215 0.8331283743
## [268,] -0.077097448 -0.1064969348 0.735943782 -0.312441464 -0.3501374412
## [269,] -0.507108198 -0.1399924983 1.449425933 -0.110453136 -0.6621996038
## [270,] 0.040436218 0.8904793243 1.394424602 0.565017503 -0.5631495248
## [271,] 0.271097474 -0.1892803429 -0.938504400 0.190741482 0.2747592430
## [272,] 0.074050682 0.1269508821 -0.024944975 -0.003253330 0.1234850640
## [273,] -0.931853006 1.0078033725 0.209204840 0.739747383 -0.8785993809
## [274,] 0.836197278 0.0005452163 -0.200324353 -0.003385652 -0.5181722760
## [275,] -0.841050307 -1.1692393307 -0.517406569 -0.715403414 0.1361235206
## [276,] -0.983023515 -0.1041939949 1.271501292 -0.181852971 -0.2020560780
## [277,] -0.801581787 -0.5012883274 1.399310331 -0.619467237 0.3217333923
## [278,] 0.235167642 0.0761654172 -0.868124389 -0.030755816 0.1837052038
## [279,] 0.259645931 -0.7659212831 -0.171331327 -0.771443767 0.2503776820
## [280,] 0.386626612 0.0020122656 -1.394599751 0.535355543 -0.6125133511
## [281,] 0.802480244 -0.1790725087 -0.588888791 -0.368026445 -0.1555218514
## [282,] 0.482401592 0.8485498995 -0.439878351 0.187371367 -0.9810781952
## [283,] 0.133037414 0.6534827324 -1.212225499 0.499259150 -0.6413672907
## [284,] 0.406502194 0.7165172399 0.480778116 0.925558289 0.1639291407
## [285,] -0.857974639 -0.6741941727 0.840754566 -0.600815722 0.2219338890
## [286,] 0.038978935 -0.7220043659 0.586611893 0.752720450 -0.5492553667
## [287,] 0.400500823 -0.3586637134 -0.511835579 -0.069931664 0.3513372646
## [288,] 0.822793804 -1.1842067114 -0.215174410 -0.208041555 0.5787408975
## [289,] 0.367378840 0.0070424388 -1.070586440 0.564778180 -0.6732674459
## [290,] 0.707731574 0.3200376804 -0.202871587 0.031149299 -0.5331046573
## [291,] -0.081437579 0.6813613159 0.423020726 0.339802365 -0.2840377311
## [292,] -0.448238235 0.5883060329 0.080163844 -0.336205536 -0.5854681151
## [293,] 1.782082642 -0.8786251058 0.424369024 0.453352217 0.1686013563
## [294,] 0.262999653 2.5161366718 0.184353081 1.516995025 -0.0388854969
## [295,] -1.028991209 -0.2410878726 -0.813808730 -0.445286831 -0.2550268203
## [296,] -0.767768447 -0.1184498761 -0.336592138 0.625874697 1.2319341578
## [297,] 0.424298678 -0.1658003787 0.354749610 -0.877756151 0.6822191559
## [298,] -0.583145614 -0.3361529386 0.012495691 -1.390367906 -0.1025393108
## [299,] -0.021967799 -0.5455360842 -0.094936125 -0.461983720 1.6215068235
## [300,] 1.938133198 -0.6013023488 -0.357609883 -1.101025575 -0.7146842916
## [301,] -0.568533563 -0.1138279703 -0.613242911 -0.355154778 -0.0453825308
## [302,] 0.737361526 0.1736037657 -0.361233504 0.692900730 -0.0526630204
## [303,] -0.126718864 -0.2544281997 0.408186660 0.192943852 -0.2835720653
## [304,] -0.061479981 0.4313114021 0.099934079 -0.890448988 0.4808252877
## [305,] 0.093734175 -1.8826517649 1.632717238 1.431294242 -0.4038404559
## [306,] 0.087368328 -0.0350587299 -0.772962725 -0.292136488 0.3733408245
## [307,] -0.674268055 -0.2830235204 -1.093907597 -0.326910311 0.1536629841
## [308,] 0.814679485 -0.1524666351 0.681117266 0.601996141 0.4859256479
## [309,] 1.875453301 0.5883067607 0.490080068 0.307284192 -1.0199760971
## PC16 PC17
## [1,] -0.204699168 0.399778790
## [2,] 0.045288943 0.292915024
## [3,] -0.271595154 -0.814045516
## [4,] -0.371673537 1.078203419
## [5,] 0.734034423 0.516096799
## [6,] 0.370839736 0.464690533
## [7,] -0.322143489 0.050306784
## [8,] 0.531051672 0.194644777
## [9,] -1.124665269 -0.473960208
## [10,] 0.076492553 0.033336741
## [11,] -0.534141622 -0.128982341
## [12,] 0.084037407 -0.456830857
## [13,] 0.189629446 0.456895464
## [14,] -0.016716439 -0.021511422
## [15,] 0.006422442 -0.329564249
## [16,] -0.225723824 -0.788232416
## [17,] 0.487690414 -0.355745563
## [18,] -0.216253994 0.281111017
## [19,] -0.357368372 -0.574817902
## [20,] -0.121585264 0.153361961
## [21,] -0.325279346 0.341539699
## [22,] -0.249217026 -0.517074387
## [23,] -0.474336582 0.001382573
## [24,] 0.020601136 -0.029383874
## [25,] -0.421748563 -0.176386698
## [26,] -0.375057468 0.459319241
## [27,] 0.157050749 1.283191589
## [28,] 0.172160415 -1.177121386
## [29,] 0.840632915 0.308201578
## [30,] 0.546906491 0.990041317
## [31,] 1.833637726 0.602301402
## [32,] 0.899009190 -0.685671003
## [33,] 0.778795299 0.192681525
## [34,] 0.282663097 0.192190653
## [35,] -0.281726780 -0.102251797
## [36,] 0.404702630 0.315448071
## [37,] 0.252701007 -0.080408534
## [38,] 0.835870432 -0.173405499
## [39,] 0.794453324 -0.901139864
## [40,] -0.664108490 -0.302257112
## [41,] -0.699334673 -0.772619337
## [42,] 0.302214498 0.526431365
## [43,] 0.215644055 0.008363015
## [44,] 1.218170500 -0.374050417
## [45,] -0.107189826 1.558186080
## [46,] -0.014697978 -0.110994738
## [47,] -0.314501834 1.085094010
## [48,] -0.453323188 1.568209576
## [49,] 0.371135730 -0.880906339
## [50,] 0.038378647 -1.504845090
## [51,] -0.190277899 -0.215343711
## [52,] 0.571180847 -0.485102183
## [53,] -0.795216391 0.307609636
## [54,] 0.101171607 -0.457206584
## [55,] -0.836682394 1.227393045
## [56,] -0.761838666 0.044936466
## [57,] -0.093377912 0.519556971
## [58,] -0.085545972 0.334201010
## [59,] 0.820792154 0.214839663
## [60,] 0.108966172 -0.162975362
## [61,] -0.542958636 1.037635542
## [62,] -1.090814185 -0.173869707
## [63,] 0.397950756 0.601928262
## [64,] -0.286457614 -0.316048608
## [65,] 1.423427877 0.100505316
## [66,] -1.311470262 -0.340525215
## [67,] -0.360979053 0.384060109
## [68,] 0.046545960 0.364930671
## [69,] 0.851869088 0.039331283
## [70,] 0.125575693 0.027204718
## [71,] 0.339668208 0.511883358
## [72,] 0.135095885 -0.227962988
## [73,] -0.161028009 -0.359990351
## [74,] -0.151488592 0.364242693
## [75,] 0.032547772 -0.019961277
## [76,] -0.125258951 -0.040086038
## [77,] -0.314385878 -0.543428311
## [78,] -0.335717440 0.228175597
## [79,] 0.400994735 -0.072763914
## [80,] -0.528254127 0.151448992
## [81,] 0.139513375 0.283297565
## [82,] -0.005952746 0.259756203
## [83,] 0.220449326 0.205910512
## [84,] 0.821389639 -0.280463409
## [85,] -0.616768168 -0.143967535
## [86,] 0.587250538 0.095098054
## [87,] -0.057818756 -0.333248457
## [88,] -0.618241629 0.030801222
## [89,] 0.262114853 0.284029297
## [90,] -0.441595058 0.570186068
## [91,] 0.546853402 0.247395413
## [92,] -0.954452414 -0.237225566
## [93,] -0.690367526 0.648356547
## [94,] 1.196418062 -0.755162981
## [95,] -1.025634831 0.626103061
## [96,] -0.491732734 -0.231372581
## [97,] 0.162249355 0.180426095
## [98,] 0.601243917 -0.104024116
## [99,] -1.217306954 -0.042251874
## [100,] 0.210795257 -0.266528766
## [101,] 0.009178791 -0.140306083
## [102,] -0.239832184 -0.505299089
## [103,] -0.001081145 0.061331010
## [104,] 0.225753874 0.024185581
## [105,] -0.423907862 0.044826848
## [106,] -0.049813183 0.066391359
## [107,] 0.144666199 0.249381777
## [108,] 0.288291683 0.147150980
## [109,] 0.683932546 -0.766405649
## [110,] -0.165238363 0.413606088
## [111,] -0.311500803 0.275308649
## [112,] 0.470357058 0.841243335
## [113,] 0.222169322 -1.078565979
## [114,] -0.168079224 0.872922772
## [115,] 0.877633521 1.155793976
## [116,] 0.248481964 0.515447773
## [117,] -0.215599949 0.058770936
## [118,] 0.514993586 0.210590031
## [119,] -0.226150793 -0.086942561
## [120,] 0.289380434 0.313280968
## [121,] 0.215127207 -0.235851294
## [122,] 0.018379895 -0.540713487
## [123,] -0.445011923 -1.187395940
## [124,] -0.197477228 0.266806473
## [125,] -0.289242777 -0.037798448
## [126,] -0.565139828 -0.738008042
## [127,] -0.159623044 -0.074763111
## [128,] 0.075685920 0.058279950
## [129,] -0.639909303 0.323712286
## [130,] 0.029766279 0.032157735
## [131,] 0.251431807 0.393080370
## [132,] 0.099890861 -0.888438144
## [133,] 0.278208194 0.028194637
## [134,] -0.035768643 0.342225755
## [135,] -0.465900314 -0.053961025
## [136,] -0.579918745 -0.349760333
## [137,] 0.000772863 0.151658109
## [138,] 0.209223668 -1.243826974
## [139,] 0.869070173 0.233877079
## [140,] 0.805399365 0.872283165
## [141,] 0.341425105 0.022592252
## [142,] -0.684397168 -0.936264140
## [143,] 0.869141848 -0.006288726
## [144,] -0.404210072 -0.522821842
## [145,] 0.676296036 -0.021386986
## [146,] 0.152334617 -0.236617040
## [147,] 0.100548266 0.546407053
## [148,] -0.614292886 0.646342147
## [149,] 0.157997524 0.030636773
## [150,] -0.396764299 -0.190573406
## [151,] -0.644069677 -0.846298375
## [152,] 0.284353292 0.503158969
## [153,] 0.173424869 0.019842343
## [154,] 0.044405912 -0.388242074
## [155,] 0.824834606 0.325438074
## [156,] 0.121962865 -0.861216712
## [157,] -0.442513188 0.702610115
## [158,] 0.793495320 0.334082201
## [159,] 0.447669504 -1.216843843
## [160,] 0.090886418 -1.371108370
## [161,] -0.438017503 0.002962693
## [162,] 0.541409695 -0.450589729
## [163,] -0.820401346 0.677621810
## [164,] 0.226252313 -0.216161914
## [165,] -0.677481397 1.415588471
## [166,] -0.583691233 0.119191040
## [167,] 0.293109180 0.174793193
## [168,] -0.203669862 0.239594626
## [169,] 0.743351273 0.219123542
## [170,] 0.130802257 -0.400058587
## [171,] -0.410579567 0.611738612
## [172,] -1.026212619 -0.272878294
## [173,] 0.242101208 0.488238862
## [174,] -0.288948646 -0.279987488
## [175,] 1.601354083 -0.114113845
## [176,] -1.520591312 -0.365248874
## [177,] -0.085103098 0.421068268
## [178,] 0.047903515 0.346408715
## [179,] 0.290577969 0.257721538
## [180,] 0.058594121 -0.016260362
## [181,] 0.351179366 0.395519794
## [182,] 0.067019098 0.018984832
## [183,] 0.069867765 -0.454941763
## [184,] 0.068081891 0.334040887
## [185,] -0.180412417 0.376233283
## [186,] -0.039127144 0.230944364
## [187,] -0.461598407 -0.299418857
## [188,] -0.863571623 0.415674312
## [189,] 0.164826381 -0.745791996
## [190,] 0.055938829 -0.226902271
## [191,] -1.130935409 0.447494847
## [192,] -0.780931794 -0.127862513
## [193,] -0.218573295 -0.492468351
## [194,] -0.164408869 -0.368908455
## [195,] -0.723395579 0.067538846
## [196,] 0.685196206 0.204171257
## [197,] 0.169355098 -0.549958598
## [198,] -0.769993878 0.122808536
## [199,] 0.128325234 0.614367708
## [200,] -0.115885447 0.264880595
## [201,] 0.569809145 0.268030342
## [202,] -1.012129894 -0.350160623
## [203,] -0.449618464 0.852052206
## [204,] 1.060227957 -0.534824136
## [205,] -0.614394865 0.846168128
## [206,] -0.773683331 0.063697140
## [207,] 0.510641502 0.044842721
## [208,] 0.539028601 -0.851370448
## [209,] -1.093386790 -0.122726928
## [210,] -0.155246654 0.001096426
## [211,] -0.194613598 -0.072297240
## [212,] -0.321072705 -0.504598778
## [213,] 0.179998006 -0.184224234
## [214,] 0.259444768 0.009943970
## [215,] -0.780618138 0.139516314
## [216,] -0.198320989 0.234820841
## [217,] 0.268641865 0.234126153
## [218,] 0.453731649 -0.077289733
## [219,] 1.088579218 -0.729502626
## [220,] -0.676442863 0.168806418
## [221,] 0.347355852 -1.056801166
## [222,] -0.165990170 -1.283069689
## [223,] 0.332638512 -0.293672149
## [224,] 0.795452124 -0.679781217
## [225,] -0.988260241 0.662611902
## [226,] 0.110787399 -0.291810588
## [227,] -0.252893278 0.923464117
## [228,] -0.433616613 0.144755671
## [229,] 0.066773967 0.275017663
## [230,] 0.063241523 -0.101200129
## [231,] 1.179012497 0.462607684
## [232,] -0.019352945 -0.148293626
## [233,] -0.615282088 0.926318797
## [234,] -0.681058673 -0.744278153
## [235,] 0.786713435 0.356755296
## [236,] -0.374744887 -0.315348333
## [237,] 1.269945960 0.064941224
## [238,] -1.574325649 -0.425168932
## [239,] -0.740202720 0.388446323
## [240,] -0.117226699 -0.428558305
## [241,] 0.955826543 -0.268608022
## [242,] -0.232986784 0.174246513
## [243,] -0.030911579 -0.178010067
## [244,] -1.116037385 -0.443587411
## [245,] 0.040368748 0.267750892
## [246,] 1.404264474 -1.478292614
## [247,] 0.978839680 0.483021714
## [248,] 0.603511293 1.157426119
## [249,] 0.692486224 0.040663628
## [250,] -0.722358199 -0.980492359
## [251,] 0.905558470 0.015177064
## [252,] -0.818092266 -0.133033980
## [253,] 0.321527445 -0.257408901
## [254,] -0.070998352 0.016638914
## [255,] 0.637360258 0.497985009
## [256,] -0.183950774 0.629102932
## [257,] 0.001359994 -0.002573657
## [258,] -0.199281757 -0.231513525
## [259,] -0.767591488 -0.674397629
## [260,] 0.473512663 0.278870895
## [261,] 0.279643315 -0.373044027
## [262,] 1.231233143 -0.616917441
## [263,] 1.196629303 0.206480172
## [264,] 0.154833871 0.622433628
## [265,] -0.106378218 0.206223917
## [266,] 0.516903811 0.396282048
## [267,] -1.619758037 -0.272082445
## [268,] 0.326323508 -0.089511243
## [269,] -0.174273385 -0.580481396
## [270,] 0.117172450 -0.841650045
## [271,] 0.058390380 0.788983893
## [272,] 0.062226434 -0.005549539
## [273,] 0.120922819 -0.511551264
## [274,] -0.104788706 -0.658045736
## [275,] 0.155305470 -0.417142635
## [276,] 0.258037515 0.001018338
## [277,] -0.471111047 -0.560894424
## [278,] -0.009003091 0.546602298
## [279,] 0.087872999 0.607421705
## [280,] -0.181710770 -0.644080424
## [281,] -0.184704565 0.404085944
## [282,] 0.381975583 -0.300021491
## [283,] -0.599984450 -0.026298504
## [284,] -0.130302106 0.170677295
## [285,] -0.054769022 0.159784347
## [286,] -0.357835410 0.115076387
## [287,] -0.335197519 0.362168104
## [288,] 0.068117172 0.532982330
## [289,] -0.109459288 -0.700975579
## [290,] 0.057996353 0.237331002
## [291,] 0.442745185 -0.109642684
## [292,] -0.638324403 0.131842402
## [293,] -0.586836031 -0.339105240
## [294,] 0.622801658 -0.405256743
## [295,] 0.146444590 -1.191554915
## [296,] 0.643560584 0.500112321
## [297,] 0.473122824 1.188323428
## [298,] 0.244203227 0.124670211
## [299,] -0.932773979 -0.723538859
## [300,] 0.720091571 0.108483530
## [301,] -0.501085666 -0.447556210
## [302,] 0.718340959 -0.098268391
## [303,] 0.109617474 -0.207952469
## [304,] 0.030515055 0.610897882
## [305,] -0.400852865 0.425130764
## [306,] -0.037178820 0.247090067
## [307,] -0.562633443 -0.019336438
## [308,] -0.714004235 -0.783153726
## [309,] 0.737576367 0.096973111
# Identifying the scores by their survival status
cancerp_pca <- cbind(data.frame(LUNG_CANCER),cancer_pca$x)
cancerp_pca
## LUNG_CANCER PC1 PC2 PC3 PC4 PC5
## 1 YES -0.646329947 0.332751806 -0.44274023 2.859184418 0.122598754
## 2 YES -0.610508061 0.058855781 0.83878638 -1.618262677 -1.600337930
## 3 NO -0.749550736 -1.504421159 2.66955055 -0.633003311 -0.554423032
## 4 NO 1.096019632 2.420201554 -1.33296429 -0.623882219 -1.620199492
## 5 NO 0.036188930 -1.476567174 1.06322075 -0.297399332 0.877535001
## 6 YES -0.532567242 -1.816704968 1.59490775 0.295408659 1.957759532
## 7 YES -2.543550172 -0.443750841 0.65879801 -0.490274648 -2.164652907
## 8 YES 2.572207921 -0.611692066 0.98184227 -0.400242160 -2.014776748
## 9 NO 1.272938608 -1.748902681 -2.03358144 -0.603715268 -0.190135930
## 10 YES 1.396823254 2.844502270 -1.74624933 -0.548914628 -0.481234509
## 11 YES 2.064989024 -1.179537297 0.77287410 1.619240317 0.200840281
## 12 YES -3.094017924 -0.236356800 0.18223710 0.351212010 1.270144781
## 13 NO 0.217887666 -2.889346007 -0.91100600 -1.432307481 -1.045267875
## 14 YES -3.138457875 -0.373951998 -0.53082600 0.580383563 -1.106225675
## 15 NO -2.644849262 1.404467949 -1.44318316 0.143100628 0.232452899
## 16 YES 1.650628200 -0.224745382 3.27395413 -0.093011818 -0.017887882
## 17 YES -2.832351242 0.682525475 -0.73821564 -0.010801951 0.679269335
## 18 YES 1.926614145 2.783633537 -0.57374848 -1.250303351 -1.057854292
## 19 YES 2.058726013 -1.588839942 1.68092889 -0.276981888 -0.505797399
## 20 NO 0.277622753 -2.858606054 -0.42259847 -2.045803131 0.939549144
## 21 YES 3.229605844 -1.107957864 0.54769701 -1.054795775 -1.494603821
## 22 YES 1.856494117 1.281078425 1.72529424 0.500791276 1.185679005
## 23 NO -0.050480044 -3.127406007 -3.04980327 -1.990025288 -0.705699392
## 24 YES -3.114648178 -0.180587030 0.10426359 0.266726364 -1.323963055
## 25 YES 0.277610744 3.357861077 0.49327829 0.917467589 0.437189391
## 26 YES -0.593103049 0.624184222 0.58814373 2.058674696 -0.508287510
## 27 YES 0.798726715 0.817444755 0.93374653 -0.444838292 -2.523918618
## 28 NO -1.483179713 -1.292781315 1.00754634 0.715640195 0.065334512
## 29 YES 1.135171580 0.783408309 -1.75430086 0.465724163 -0.417313447
## 30 NO -1.513992882 -1.471854090 -0.71445396 1.239531591 0.767188290
## 31 NO 1.249804903 -1.966549418 -1.89456009 -0.936322757 -0.643651435
## 32 YES -1.015659657 1.565562602 -1.96636100 0.688684179 -1.044736566
## 33 NO 1.959456710 -0.179323614 -1.66903462 -0.161407143 -1.632984057
## 34 YES 2.332965976 0.401390187 0.14559217 -1.127745419 -1.393041621
## 35 NO 1.785139801 1.845010472 0.27438022 -1.498888257 -1.437361903
## 36 YES 2.803119610 -0.463091900 -0.61631147 -1.129814399 -0.672500165
## 37 YES -0.906183428 -0.252869061 0.60868898 -0.552044454 0.490794665
## 38 NO 0.625607571 -1.096717211 -0.29615831 -1.482097111 1.247479925
## 39 YES -0.980782008 -0.452929695 -1.00809976 -1.791086031 -0.953341909
## 40 YES -2.531034433 1.054359249 -2.75170356 0.062941767 1.314619757
## 41 YES -1.849943675 -0.036969503 -0.70926167 0.528593229 -1.528261831
## 42 YES -0.768929068 0.787507023 -0.50866975 0.164717527 1.435220054
## 43 YES 1.593703995 0.429036798 1.52983078 -0.546232596 1.925341348
## 44 YES -1.913272210 0.172794143 0.20744605 -0.721150606 -1.789307797
## 45 YES 1.543800949 0.459571313 -1.73845136 0.640217881 2.124908844
## 46 YES 0.292377930 1.094376928 0.98377124 1.985566661 -0.599839321
## 47 YES -0.251600030 0.717276148 0.11116195 -0.575662628 -0.910947467
## 48 YES 0.254838293 0.616454646 0.11114292 1.765377472 -0.055649992
## 49 YES 0.179367433 1.125141361 2.32349723 -0.520119821 0.277971205
## 50 NO 0.952911843 1.162517658 -0.71030972 -2.443376329 1.135427261
## 51 YES -0.851848170 0.904980380 1.94819723 -2.525220801 0.637015235
## 52 YES 0.301087025 -0.841444915 -0.33470279 0.020924532 -0.407424612
## 53 YES -0.906545994 1.108874215 1.03521271 0.179671277 -0.804835301
## 54 YES -1.669956979 0.706463198 0.54089194 0.336371630 -0.952496542
## 55 YES 0.195017025 -0.473764877 0.02002028 -0.520758210 2.360776695
## 56 YES 0.200650077 2.716951889 1.41770341 -0.952121471 0.740632192
## 57 YES 0.518073225 -1.367268061 2.81032243 -0.783212228 -0.937364905
## 58 YES -1.831824121 1.109402015 -0.45190838 -0.415424258 1.192288451
## 59 YES 0.685756178 -0.408794213 0.31395717 0.052650501 -0.299515433
## 60 YES -0.498748639 0.460812608 0.14593215 1.348117096 -1.331297016
## 61 YES -0.851501742 1.873535014 1.07688266 1.057769336 1.654911975
## 62 NO 1.671406217 -0.423441611 0.01975544 -0.908557402 0.637102625
## 63 YES -1.102287719 0.573598828 1.07737079 0.769959205 1.589212310
## 64 YES 0.487489582 1.589885359 -0.52386479 -1.031169208 2.329019058
## 65 YES -1.821523333 0.607204567 2.39323915 0.916516254 0.021873142
## 66 YES 1.890194887 0.314196298 0.21915753 1.943292140 0.447955709
## 67 YES -0.908993115 -1.002601881 2.42194180 -0.792706294 0.098085784
## 68 YES -2.188253111 -1.295291142 -0.20414494 0.389988620 -0.418881441
## 69 YES 1.922127515 -0.483661450 -0.89450174 1.892882896 -0.799898913
## 70 YES 1.831473258 -1.208432390 0.77153641 2.788481409 0.126999960
## 71 YES 1.111645609 2.745232439 -1.90160470 0.587416793 -0.459646651
## 72 YES 1.972055116 -0.866834386 1.97362887 1.622670501 -1.020641169
## 73 YES -3.014541351 0.230927487 1.82358730 -0.870777134 0.323242135
## 74 YES 0.297544932 -3.341535872 -2.66498436 -0.870757883 0.580788533
## 75 YES -3.123513629 -0.202316474 0.02439536 0.353201837 -1.241766589
## 76 YES -2.175119346 0.619405502 -1.87693522 -0.203685676 0.728913726
## 77 YES 0.988165063 0.281111344 2.73257900 1.428695160 0.826564602
## 78 YES -3.171148404 -0.393624263 -0.52860137 0.462431181 -1.108134631
## 79 YES 1.909872378 2.594516335 -1.37039805 -0.316273317 -0.384527514
## 80 YES 1.884232732 -0.836929091 0.25971121 2.107873428 -1.134661282
## 81 NO 0.148410514 -2.759622666 0.17058795 -2.012337053 -0.253735238
## 82 YES 3.159260208 -1.376912455 -0.46218545 -0.031919056 -0.631448204
## 83 YES 1.589202745 3.215922052 1.45544104 -1.156249670 -0.416540691
## 84 YES -0.735262114 -0.558683606 0.06426583 -0.614419304 3.046112719
## 85 YES -2.492696658 -0.248148077 0.57351965 -1.485832190 -0.156211037
## 86 YES 0.164831585 1.067984585 0.76191427 0.778873264 -0.004490012
## 87 YES -0.791080564 1.277284906 0.13896203 -0.512508540 0.424119906
## 88 YES 1.019972886 1.038546046 0.67879987 0.166896049 -1.036950670
## 89 YES 1.355490521 1.048191345 -1.19753355 -1.835391137 0.487381401
## 90 YES -0.217694604 1.268039722 0.47349157 -1.166491895 -0.149140965
## 91 YES 0.200980870 1.569364821 0.23589533 -1.010042731 0.739065292
## 92 YES -1.224091912 -1.370670443 1.95314352 -1.673818763 0.298939223
## 93 YES -1.377079915 1.986294419 0.87166613 -2.146700312 -1.490469516
## 94 YES 1.105509567 1.009068862 0.89835083 0.952703555 1.771596512
## 95 YES -1.763739245 0.521690848 0.52910283 -1.278362192 -1.910301720
## 96 YES 2.144246653 1.031814241 0.70297021 -0.327085070 -1.299959938
## 97 YES -0.247301899 0.219966733 -1.52379872 0.759730600 -0.649174503
## 98 YES -0.943580309 -0.985801589 -2.47162486 0.257887623 0.377111320
## 99 YES 1.434728986 0.425244821 0.30490166 1.146598321 0.613218154
## 100 YES -3.084789560 -0.318539996 -0.37773171 0.447133452 -1.342039635
## 101 YES -2.211988131 0.291466382 -3.00610005 0.509360032 1.226245309
## 102 YES 0.934186102 0.103006060 2.09662512 2.008597406 1.345721614
## 103 YES -3.134406710 -0.118005299 0.30107545 0.285470960 -1.220197353
## 104 YES 1.829037095 2.049999607 -3.14856312 0.573307112 0.274730687
## 105 YES 1.889637650 -0.929392727 -0.06656941 2.287498244 -1.058126770
## 106 YES 0.304495611 -2.796890852 -0.22372072 -2.193562275 0.775896724
## 107 YES 3.150251750 -1.266687571 -0.15055069 0.047749838 -0.490198468
## 108 YES 1.504721972 2.576287720 -0.70174306 0.107804727 0.494154681
## 109 YES -0.513569276 -0.429919365 0.66685573 -2.146489489 1.272448570
## 110 YES -2.049787993 -0.595265518 -1.39788656 -1.626354625 0.259757990
## 111 YES -0.548863117 0.551657627 0.36348773 1.955891473 -0.754455175
## 112 YES 0.137370850 1.157565543 -0.22654103 0.220013284 -2.581582640
## 113 YES -0.769133382 -1.651851800 2.04076114 0.144667909 0.027932525
## 114 YES 1.052948611 1.877461485 -3.18476295 0.436016597 -0.942808927
## 115 YES -0.832893079 -1.520043078 1.23238975 0.789310913 1.071200271
## 116 YES -0.521560718 -1.774839073 1.77212639 0.062067842 1.766517195
## 117 YES -2.590558669 -0.606042808 0.07011790 0.065104794 -1.677476972
## 118 YES 2.565856126 -0.636635561 0.90085819 -0.352743399 -1.971483866
## 119 YES 1.890132650 -1.553285458 -0.21632974 2.489127348 -0.444483208
## 120 YES 1.809485293 2.507239709 0.23379629 -0.904604737 -0.130106958
## 121 YES 1.154753405 -0.820601807 -0.18191235 3.258811319 -0.010433839
## 122 YES -3.068643554 -0.358110282 -0.17957410 0.278724442 1.079820384
## 123 YES 0.603092803 -1.663570228 -0.81847194 -1.742527977 -1.373236514
## 124 YES -0.262265717 -0.458918399 1.14583763 0.431171055 0.242487727
## 125 YES -2.166676433 1.025027556 -2.44144452 -0.175700086 0.158619707
## 126 YES 1.396820173 -1.775823130 0.44315452 0.164190546 1.111925399
## 127 YES -2.621538470 -1.080128160 -1.50955976 0.829755886 -1.228986208
## 128 YES 1.904628487 2.458422492 -1.72758409 -0.464085245 -0.547767196
## 129 YES 2.449232521 -1.233115913 1.14940570 0.807738005 -1.464755784
## 130 NO 0.346806820 -2.486510669 0.79296731 -2.700072211 0.411814347
## 131 YES 3.029389183 -1.278867895 0.12853282 0.002537778 -1.822456522
## 132 YES 1.929414827 1.312693320 1.78007480 0.409498610 0.912824308
## 133 YES -0.087138867 -2.322217437 -0.65856528 -1.925296028 -0.156916374
## 134 YES -3.286936885 -0.510578871 -1.06794608 1.550312925 0.014328320
## 135 YES -0.243063096 3.265766261 0.36303718 0.455074271 -0.101216908
## 136 YES -0.885383059 -0.103152291 0.79354384 1.149680047 0.191778725
## 137 YES 0.779845934 -1.412199847 -1.48333758 0.232939883 -1.659993771
## 138 YES -1.475619881 -1.358995678 0.78667103 0.785254199 0.063938933
## 139 YES 1.315156524 1.874152974 1.90819130 -1.745565666 -2.120481240
## 140 YES -1.435594309 -0.886655409 1.17170443 0.402456719 0.175080477
## 141 YES 0.311554205 -1.503514600 1.98669876 -0.611745934 -0.377702324
## 142 YES -1.898169897 -0.689807691 -1.77090536 1.813131302 -0.926438974
## 143 YES 1.817982682 -0.274894663 -0.25700981 0.816135845 -1.374023354
## 144 YES 1.132188201 0.097406071 1.56257454 1.507813279 -0.597525384
## 145 YES 1.041211639 2.476633973 -2.22422610 0.853838815 0.789743107
## 146 YES 1.911956582 -1.279682355 0.58493540 2.442926394 -0.412810097
## 147 YES -2.208254898 0.244829063 1.39493556 -0.446948312 -0.084142771
## 148 YES 0.199618587 -1.606668229 -0.56648477 0.211079060 1.819639955
## 149 YES -3.151824202 -0.105442765 0.28680901 0.530946496 -0.974148171
## 150 YES -2.581152399 1.660530129 -0.45658460 -0.913041511 -0.642489672
## 151 YES -1.821212050 0.049106818 -0.42528735 0.326193983 -1.727503000
## 152 YES -0.709027954 1.118219938 0.61257539 -0.562639222 0.859330817
## 153 YES 1.527353442 -0.054701131 -0.07747901 0.328574008 2.559335815
## 154 NO 0.134446169 0.264009802 -1.70348774 -1.428607876 -0.536373103
## 155 NO 2.379419131 -0.094554298 0.55507534 -2.767771658 0.132335453
## 156 YES 1.816004356 0.546117886 -3.21264766 0.454846344 0.862978356
## 157 NO 0.693446059 0.977045613 0.26008812 -3.763916185 -2.021635959
## 158 NO 1.637082331 -0.335000397 -2.05755169 -0.746108139 -0.416159349
## 159 YES 0.296933463 1.194165867 2.60436670 -1.181630957 -0.546751798
## 160 NO 0.822754284 0.670235764 -2.41335728 -1.103663683 2.312033587
## 161 YES -0.918911402 0.663806963 1.18690797 -2.128116926 1.024959096
## 162 YES 0.231900961 -1.270641543 -1.76967126 0.862961366 0.236368161
## 163 YES -1.013939681 1.262821648 1.47304856 0.585206501 -0.098566521
## 164 YES -1.772694007 0.767271176 0.63712578 0.973149028 -0.128283972
## 165 YES 0.113097963 -0.357041885 0.30262585 -0.029388012 3.038456413
## 166 YES 0.075576812 2.276081375 -0.14913244 0.428758735 1.958389064
## 167 YES 0.477358107 -2.002383447 0.60892730 0.553159679 -0.100163895
## 168 YES -1.789229364 1.010323518 -0.71414648 -0.663628669 0.826928708
## 169 YES 0.719595969 -0.266957041 0.81937861 -0.376044152 -0.660229054
## 170 YES -0.479345237 0.029424455 -1.25225042 1.746517856 -1.293222426
## 171 YES -0.706487604 1.979788355 1.48164274 0.256635741 0.659195101
## 172 NO 1.659264316 -0.669984273 -0.80889570 -0.497190062 0.868951875
## 173 YES -1.053631487 0.418816948 0.64807542 0.512000760 1.171296835
## 174 YES 0.439619994 1.347267284 -1.34471999 -0.491319346 2.768031869
## 175 YES -1.736485551 0.889505297 3.31946123 0.301066951 -0.567055601
## 176 YES 1.908193822 0.100984757 -0.40588659 1.869485714 0.234457926
## 177 YES -1.025193951 -1.347023632 1.14815308 0.528994073 1.290656942
## 178 YES -2.229264288 -1.622311063 -1.29643165 0.990124308 0.004899612
## 179 YES 1.957225328 -0.433792361 -0.55469125 1.069085426 -1.511190662
## 180 YES 1.838526733 -1.356872831 0.31115872 2.847776221 0.079447061
## 181 YES 1.180112751 2.940457687 -1.22406253 -0.005852669 -1.024121550
## 182 YES 1.811861750 -1.441142807 0.01690577 3.101211177 0.312426585
## 183 YES -3.110670459 -0.364952154 -0.24358794 0.575227017 1.429197339
## 184 NO 0.360229263 -2.696506149 -0.58357746 -1.726264724 0.050562343
## 185 YES -3.223541067 -0.179218190 0.09257126 0.673772079 -0.685860956
## 186 YES -2.269746579 0.759892939 -1.50517585 0.258232091 1.433596248
## 187 YES 2.747577269 -0.892695063 0.37334010 -0.956311448 1.532003894
## 188 YES -0.149697264 -1.642331214 -2.28814301 -1.471419303 -0.781235965
## 189 YES 2.400777592 0.347128955 -1.71026348 -1.021489585 0.434261725
## 190 YES 2.664155409 -1.393549647 -1.71837991 0.529051941 0.057805594
## 191 YES 0.613534144 -1.458382780 0.89659577 -3.179203564 1.045150296
## 192 YES 2.833005133 -1.403952109 -1.83872171 -0.412027674 0.480801518
## 193 YES 3.117056920 -0.179410694 -1.10177848 -1.856855416 0.106854315
## 194 YES 1.396552964 -0.642255545 0.02050933 -3.110585372 1.836705087
## 195 YES -2.512642306 0.003850388 1.41044718 -1.765460899 -0.188561541
## 196 YES 0.041302770 0.619388750 -0.80700898 2.078283851 1.142567875
## 197 YES -0.813244847 0.880928753 -1.22887662 0.288977960 0.912007999
## 198 YES 0.986709032 0.840164793 0.05264538 0.423153898 -0.837258657
## 199 YES 1.252252204 0.988451934 -1.42301728 -1.323117294 1.159512551
## 200 YES -0.137885258 1.481731866 1.13219939 -1.525196202 -0.559153131
## 201 YES 0.136542296 1.207505130 -0.99116369 -0.216929658 1.363785406
## 202 YES -1.270419897 -2.048452421 -0.26872446 -0.709046147 0.847964695
## 203 YES -1.511779573 1.885698680 0.38947345 -1.030942437 -0.282150752
## 204 YES 1.085397022 1.243127916 1.68487628 0.664169343 1.724253118
## 205 YES -1.937338444 0.418609362 -0.03359575 0.232284332 -0.284578291
## 206 YES 2.079880884 0.956433882 0.49279972 -0.166467991 -1.020841607
## 207 YES -0.238660237 0.398472349 -1.03260961 0.864147837 -0.508793937
## 208 NO -0.159651843 -1.132594137 -0.05598138 -1.013129749 -0.784261739
## 209 YES 1.500566250 0.840189583 1.66536450 0.435082161 0.072426854
## 210 YES -3.014209221 0.355964728 1.96591223 -1.080854377 -2.396209206
## 211 YES -2.105058072 0.929924423 -0.80062808 -1.017803085 0.046453380
## 212 YES 0.942418911 0.054526904 1.96648773 1.934291974 1.240767541
## 213 YES -3.148924082 -0.594610120 -1.31041545 1.087399067 -0.793683557
## 214 YES 1.878394695 2.398574133 -1.99024350 -0.062447648 -0.190863682
## 215 YES 1.966715740 -0.630957885 1.05402026 1.155588169 -2.010604775
## 216 NO 0.277041266 -2.759604202 -0.07945444 -2.231880620 0.846800791
## 217 YES 3.171498795 -0.995402267 0.71278740 -0.251134699 -0.651266456
## 218 YES 1.556928786 2.591469129 -0.66355483 -0.035006615 0.235938143
## 219 YES -0.616500433 -0.513737474 0.21506585 -1.061891800 2.369939157
## 220 YES -2.586211894 -0.187369377 0.72652260 -1.088595931 0.457090666
## 221 YES 0.137716815 0.366509534 -0.16792988 0.543739987 0.849702117
## 222 NO 0.865093182 0.844185218 -1.74842823 -1.798595288 1.737694179
## 223 YES -0.913971012 0.969266395 1.97298215 -1.716775781 1.472684147
## 224 YES 0.313977949 -0.945041768 -0.72531396 0.292773295 -0.288118442
## 225 YES -1.072776501 0.599121897 -0.68085976 1.492600012 0.450812463
## 226 YES -1.699472023 0.930082069 1.24714633 0.260609994 -0.813935347
## 227 YES 0.251825578 -0.075337937 1.19428496 -0.695732642 2.249570554
## 228 YES 0.014567830 2.117497330 -0.74689429 1.102971967 2.580198736
## 229 YES 0.504752774 -1.860630264 1.15079860 0.009577708 -0.529532914
## 230 YES -1.698692239 1.131623356 -0.33312414 -1.038468810 0.327760281
## 231 YES 0.558690456 -0.191830970 0.83866091 0.887454211 0.824592143
## 232 YES -0.464475998 0.564705610 0.54205784 0.907998903 -1.720403026
## 233 YES -0.736607022 2.290777684 2.53098650 -0.131746814 0.602622034
## 234 YES 1.791907070 -0.482831255 -0.20730594 -1.103593125 0.098407869
## 235 YES -1.021622690 1.026768352 2.49920628 0.201024453 1.131623848
## 236 YES 0.511871527 1.643341139 -0.30949731 -1.318210021 2.062253193
## 237 YES -1.857682768 0.067118102 0.65282615 1.571807247 0.370261802
## 238 YES 1.973432877 0.329461293 0.39577264 1.190688519 -0.369711578
## 239 YES -0.844025398 -1.043350556 2.43615654 -1.497678287 -0.655538378
## 240 YES 1.798603632 1.277822318 1.64041006 0.964305961 1.712072698
## 241 YES 0.567970913 -1.465901428 -1.40821954 -1.475588124 1.328585265
## 242 YES -3.128591618 -0.100406746 0.42598650 -0.002631206 -1.449540091
## 243 YES 0.921300172 2.566347959 0.08444693 -0.327261230 -0.277565465
## 244 YES -0.707766669 -0.140351712 0.50896513 0.494931879 0.794661098
## 245 YES 0.727027732 -1.433071548 -1.59685113 0.593875654 -1.235796634
## 246 NO -0.813209418 -1.199505257 0.40464481 -0.405256608 -0.735537650
## 247 YES 1.137562086 1.419593842 0.28112686 -0.123186538 -0.567331492
## 248 YES -1.568549443 -1.353854798 -0.38152350 1.471266594 1.164907662
## 249 YES 0.206337661 -1.720761209 1.11360977 0.581416058 0.745153770
## 250 NO 0.582400965 -1.654341741 -4.03720871 0.592072897 0.127026158
## 251 YES 1.852485410 0.064395647 0.86057895 0.277190722 -1.725563610
## 252 YES 1.069824793 0.099379354 1.64192217 1.436102237 -0.464752520
## 253 YES 1.320083419 3.019301770 -0.60379759 -0.838972788 0.575723760
## 254 YES 1.826416008 -1.528447714 -0.21991298 2.977344774 0.131843922
## 255 YES -2.295131492 0.231836563 1.14798587 0.601866665 0.972169398
## 256 YES 0.184324517 -1.188753076 0.66614989 0.264048756 2.108122913
## 257 YES -3.143108851 -0.334761125 -0.41121557 0.580820285 -1.073009725
## 258 YES -2.658851944 1.282851605 -1.79186198 0.149784893 0.220653288
## 259 YES -1.871308247 -0.027948405 -0.67512508 0.569331753 -1.428769300
## 260 YES -0.711591973 0.787827363 -0.51712533 0.015709149 1.149714717
## 261 YES 1.686997211 0.200537154 0.82927435 -0.749102450 1.380292709
## 262 YES -1.858110215 -0.038377392 -0.44768335 -0.780682656 -2.102146836
## 263 NO -0.009983675 -1.961070989 -0.67218900 0.977524185 1.756913624
## 264 YES -0.640492349 -2.449177339 -0.47626302 1.394993461 2.816254162
## 265 YES -2.667743902 -0.624537600 -0.07078989 0.631216256 -1.022190383
## 266 YES 2.455060778 -0.932060495 -0.13446506 0.605103847 -1.049802875
## 267 NO 1.289042304 -1.784059560 -2.00134352 -1.157706179 -0.679250082
## 268 YES 1.464834078 3.334018842 -0.17613207 -1.228668742 -0.968154666
## 269 YES 2.198079582 -0.920094403 1.60613778 0.943922005 -0.588805903
## 270 YES -2.876746306 0.339743512 2.19185099 -1.486040419 -0.507401063
## 271 NO 0.060055521 -3.317302160 -2.37218122 -0.195895671 0.166259201
## 272 YES -3.142504794 -0.257942521 -0.17738398 0.552812520 -1.059087544
## 273 NO -2.634807935 1.168554355 -2.23638980 0.468363114 0.337151628
## 274 YES 1.505301199 -0.740318106 1.46628345 1.427782791 1.331421460
## 275 YES -2.740709424 0.722367627 -0.45692349 -0.908981952 -0.263057377
## 276 YES 1.905774831 2.562920015 -1.43666755 -0.402881750 -0.453816513
## 277 YES 2.017633169 -1.986659604 0.38967132 0.286357120 -0.144177349
## 278 NO 0.099735552 -2.950607582 -0.86988372 -0.826878661 2.360250992
## 279 YES 3.015656624 -1.371646389 -0.56504871 0.865577325 0.487728246
## 280 YES 1.825438683 0.837995677 0.24336244 1.242694873 1.631988024
## 281 NO -0.131569292 -2.296085695 -0.47529079 -2.174913004 -0.202269462
## 282 NO -1.322834911 -1.037008743 -0.41131805 -1.699174863 -2.575108219
## 283 NO 1.736775731 1.283284999 -1.49919175 -0.917952163 -1.119800076
## 284 YES -0.592930367 0.224645288 -0.78024226 2.755903856 -0.168581495
## 285 YES 1.928894090 2.708029329 -0.86288820 -1.014020749 -0.920456081
## 286 YES 2.367428208 -1.947699135 -1.30903111 2.358687696 -0.378804689
## 287 NO 0.290098251 -2.530916123 0.71152818 -2.701725928 0.558829150
## 288 YES 3.070879292 -0.884056499 1.49195594 -0.861410776 -2.416739566
## 289 YES 1.901858849 1.316866466 1.83316729 0.347207053 0.949670177
## 290 YES -0.148458186 -2.510569491 -1.25163372 -1.591987828 0.190570397
## 291 YES -3.160670480 -0.142895407 0.08071687 0.912125001 -0.674116273
## 292 YES -0.350752444 2.762553158 -1.29900566 1.452158009 0.740670485
## 293 YES -0.898366238 -0.174979956 0.55300720 1.296536856 0.308268936
## 294 YES 0.861502720 -1.425901982 -1.64547390 0.420718507 -1.767384879
## 295 YES -1.473211209 -1.294127913 1.01677328 0.634936076 -0.026911060
## 296 YES 1.111453285 0.841309250 -1.52709178 0.333852745 -0.419205639
## 297 YES -1.529405423 -1.178528936 0.25100317 0.921255092 0.711687244
## 298 YES 0.258107397 -1.743891382 1.19553857 -0.139263124 0.027543069
## 299 YES -1.904656129 -0.528637935 -1.18196439 1.415971336 -1.132951811
## 300 YES 1.848956846 0.029663156 0.79616089 0.147726816 -1.830864913
## 301 YES 1.150509115 0.284559833 2.21074344 1.095715426 -0.877160551
## 302 YES 1.152918867 3.108695777 -0.10406543 -0.443281716 -0.231421332
## 303 YES 1.932277477 -1.124180447 1.11643983 2.110205036 -0.653007261
## 304 YES -2.222289178 0.217516381 1.31604101 -0.408380875 -0.025831892
## 305 YES 0.309135098 -1.125563191 1.01347625 -0.729745122 1.004636281
## 306 YES -3.290318919 -0.773981843 -1.92760392 1.864300336 0.137285445
## 307 YES -2.664442991 1.297484746 -1.64793851 -0.204320402 -0.026482672
## 308 YES -1.831829290 0.042083823 -0.43588975 0.322802182 -1.701712188
## 309 YES -0.648431973 1.114788359 0.51649880 -0.439377745 0.770588458
## PC6 PC7 PC8 PC9 PC10
## 1 0.7182594090 0.0900371245 1.051744451 -1.937650817 0.4989633841
## 2 -0.6772550951 1.9777064114 -1.557168739 -1.216866754 -0.5305604825
## 3 1.1916488129 -1.2195053227 -0.411285727 -0.323523971 -0.1148162874
## 4 1.7403584683 0.6091639642 0.258612735 -0.654105790 -0.2130147794
## 5 2.1847893962 0.2198466952 1.845426766 0.627204075 -0.6014890431
## 6 -0.2480383908 1.4550678660 0.483870124 0.558138013 -0.2014692509
## 7 0.9965416546 -0.8530147261 0.684045214 -0.285018564 -0.7811912336
## 8 -0.5055130553 -0.4251606584 -0.227317424 1.333349131 0.1917601304
## 9 1.1709683751 0.1970313925 -1.162926497 0.312410711 -1.0231229714
## 10 -1.4206369931 -0.3235588013 0.045516341 0.241215288 1.0354175725
## 11 -0.9877439635 -0.2335341620 0.675723070 -0.141706192 -1.1092713774
## 12 -0.7610221388 0.7783351846 -0.103927236 -0.972945187 0.3836599781
## 13 0.7356356660 -0.1182467785 -0.538078442 0.115259335 -0.8498243779
## 14 -0.3303380494 -0.4144204301 0.078712304 0.509575391 -0.1786395470
## 15 0.8668959754 0.1542886143 -0.441232526 1.201097550 -0.7763798784
## 16 -1.0582597188 -0.7242179155 1.600738198 0.810017235 0.0978269150
## 17 -0.5049244711 1.7816022095 -0.061502145 0.001210227 -0.9101287848
## 18 0.1840838476 -0.0442652608 -0.003095435 -0.819714203 0.2257921571
## 19 0.4184360878 1.5182832851 -0.362960279 0.678886989 -0.0700320345
## 20 -0.1026575213 0.1029842000 0.139143879 -1.173656688 0.0186207447
## 21 -1.1480175988 -0.8296570774 0.839375250 -0.234943802 -0.0825857254
## 22 1.3263081293 -0.4222197926 0.444424752 1.718445639 -0.4170879515
## 23 -3.4638911787 -2.6363622952 2.172674109 1.263816491 0.8334590948
## 24 -0.0004180954 -0.1158383494 -0.076506354 0.541266927 -0.3670905070
## 25 -0.2750442777 0.9287661421 -0.325823814 0.423680522 -0.5182746874
## 26 1.0816548676 0.0640144973 1.274308400 -1.764172546 0.3344585771
## 27 -0.2832546918 1.2360719838 -0.187090224 0.315365054 -0.0554968227
## 28 1.3433206731 -0.8591849926 -0.936163793 -1.220062630 0.4830794498
## 29 -1.6799924024 -0.0281633721 2.156630368 -1.020784884 -1.1447949606
## 30 1.0710626285 -1.3284110672 1.834728862 -0.381994526 0.6811806747
## 31 0.8185042829 0.1595997123 0.965113863 0.982824838 -0.1867421466
## 32 -0.5116245789 0.2213173362 0.411993823 -0.538385421 -1.0926900877
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## 253 -0.6003662352 -0.0860071646 0.036601334 -0.492122827 1.7173048359
## 254 -0.0075139193 -0.5445206700 -0.012862474 0.166851359 -0.9379488813
## 255 -0.3317993324 1.3861884739 0.366675439 -0.608606841 0.8330237465
## 256 -0.1633623299 0.3209166774 -1.432590791 -1.371786484 -0.0640701133
## 257 -0.2232857151 -0.2414764424 -0.056790620 0.475449978 -0.2479260376
## 258 0.6025818559 -0.2811734954 -0.100457057 1.230327282 -0.5999538620
## 259 0.4170038534 1.6903016657 -0.874392374 0.326717780 0.5784111216
## 260 0.0002427880 -2.7793829806 -1.102881662 -0.225616264 -0.1222536990
## 261 0.1823409035 -1.1936153031 0.214544196 -0.186836394 -0.3278446880
## 262 -1.2715304280 -2.7286452138 -0.103067971 0.538373097 0.3577129850
## 263 1.4670339885 0.0560863487 1.649570038 0.463640188 -0.2575170414
## 264 -1.2367743349 0.6690005850 0.825026937 0.357533884 0.3547903089
## 265 1.1603304648 0.2564488286 -0.466493609 -0.784972182 -0.9809742273
## 266 -0.7338553859 -0.0482649295 -0.773772879 0.957953335 0.2606999512
## 267 0.8889099300 -0.7066213845 -0.312820562 0.509747636 -0.7811957618
## 268 -0.5705395526 0.5542518386 -0.472892785 0.313815624 0.5342072708
## 269 -0.8512332042 -0.4827810745 1.036359939 0.228757735 -1.1577294509
## 270 -0.3740756655 0.0417266096 0.932044033 -0.273332092 0.2768452963
## 271 0.4032019324 0.2527873889 -1.136724346 -0.363677374 -0.7277646423
## 272 -0.0441355087 0.0294030664 -0.262150079 0.441155012 -0.3627821102
## 273 0.3577792653 -0.4086229346 -0.083707788 1.279164475 -0.4796391971
## 274 -1.5531806436 -0.3803915162 0.949686923 0.343125451 0.2926302275
## 275 -0.8756634804 0.4962594512 1.171716745 0.439440455 -0.5907452008
## 276 -0.0669921990 0.2226560485 -0.428683876 -0.958918591 0.3034629867
## 277 -0.3019960188 0.7735920022 0.079229910 0.654463086 0.3520907959
## 278 0.4308091328 1.8659576704 -1.545778625 -1.887880264 -0.4217303502
## 279 -0.7519674960 1.2586366080 -1.278552065 -1.119937175 -0.5003505269
## 280 0.5227459304 -1.1517873688 0.828307407 1.701901555 0.0377575323
## 281 -1.2891964728 0.7268513687 -0.413380030 0.633575030 -0.5561705670
## 282 0.0072723101 0.1177275082 -0.650013848 0.271424375 0.5749921706
## 283 1.3745317270 -1.0682943337 1.842989199 -0.939231198 1.3300725948
## 284 0.3001583816 -0.6476922795 1.653718382 -1.711975445 0.7720718709
## 285 0.0608953430 -0.0522280140 -0.057624847 -0.829450762 0.2804388426
## 286 -0.3793650617 -0.7280509615 0.123139185 0.461371200 0.5299479216
## 287 0.4851285995 0.5384871928 -0.034959347 -1.162760972 -0.2992416890
## 288 0.7206171053 -0.5881867306 0.011350392 0.249568814 -0.3876300550
## 289 1.2655471357 -0.6204720310 0.636573907 1.855271946 -0.3714336955
## 290 -1.6098224177 0.6667855015 -0.514808749 0.565964376 -0.4048883452
## 291 0.3830414208 1.0109341013 -1.123266595 0.241569021 -0.6783633899
## 292 -0.6782178362 1.3000455823 0.767054107 0.198642605 -0.6140196286
## 293 1.6844910775 -0.0002079914 0.603823492 -1.555022296 -1.0310973402
## 294 -1.1399821131 0.5706408517 0.225131480 1.006080236 1.1212419211
## 295 1.2939157922 -1.0000212360 -0.805579220 -1.173390048 0.5219335656
## 296 -1.5209166720 0.1111558629 2.082635517 -1.083053578 -1.2292044177
## 297 1.7354934370 -0.5086166346 1.274213378 -0.507815962 0.2828894521
## 298 -1.7703871607 -1.0686169716 0.945636813 1.981196497 -0.0611704156
## 299 0.6019869525 -0.0363752051 0.421560655 -0.836265536 -0.6174102949
## 300 0.4477745716 0.6016858070 -1.070264315 0.420841396 0.3475341540
## 301 -1.7409282983 0.6768220842 0.003313970 0.460084373 -0.4587245723
## 302 1.0154864475 -0.0985800207 -0.643518629 -0.004429237 1.5584108132
## 303 0.4923718799 -0.3707895537 0.066845323 0.432132091 -1.1977180848
## 304 -0.8242134745 -0.2005517233 1.866263998 -0.162230166 1.2491918924
## 305 -0.5806708637 -1.0993056715 -0.071064434 -0.836025698 0.2882833788
## 306 -0.5943934264 0.1107253930 -0.653395882 0.019173765 -0.1081640853
## 307 0.5500102538 -0.6588696646 0.287068731 1.294093947 -0.5254052273
## 308 0.4272639574 1.5292324864 -0.687199135 0.451762489 0.5889517563
## 309 0.5268382605 -2.2511204799 -1.404420153 -0.130277486 -0.4341384337
## PC11 PC12 PC13 PC14 PC15
## 1 0.420523565 0.4334820544 0.016896184 0.568431041 0.4383575733
## 2 0.462308125 0.3986804449 -0.218844308 0.061830934 -2.0687208915
## 3 -1.315721292 -0.6118901582 -1.234182675 0.374500028 0.7773050725
## 4 -0.036031283 -0.2638657935 -0.338447239 0.010300783 0.5421504516
## 5 -0.912182701 -0.4352120930 -1.415924824 0.029107293 0.2282780957
## 6 0.006675664 1.2983623838 -0.206751142 -0.234096001 -0.6232337130
## 7 -0.681612182 -0.4367979407 0.627895778 -0.126860747 0.5778337358
## 8 1.570297126 -0.3494589711 -0.224076737 0.307935702 -0.1791024816
## 9 0.588029356 1.3889527245 0.379929206 0.698899496 0.2331253689
## 10 0.013843135 -0.3935900740 0.183078896 -0.531951622 -0.0795574606
## 11 -0.393455043 -0.8581065623 0.256269265 -0.857916040 0.0129291768
## 12 0.012211427 0.7468853985 0.391100484 0.158685593 -0.2626260427
## 13 0.249502857 0.0929055090 -0.044637030 0.616334219 -0.0808919597
## 14 0.108202924 0.0621200579 -0.074766804 -0.009759719 0.1656639689
## 15 -0.894184802 0.6667391909 -0.134044309 0.395128230 -0.5965953711
## 16 0.908454725 -0.2179462237 0.185976081 -0.004498742 -0.4711337983
## 17 -0.992433913 -0.7479697500 -0.485089739 -0.584556336 -0.1028938720
## 18 -0.796874258 -0.9948424816 0.538850685 -0.867448372 0.4749865902
## 19 -0.844001807 -0.4463708756 1.628548810 -0.604924292 0.2536040792
## 20 0.320441162 0.1598941284 -0.096108696 0.385799068 -0.0495534724
## 21 0.467789803 -1.2219438435 0.249408139 -0.731181079 0.4061416274
## 22 0.411759401 -0.2953011717 -1.528031755 0.251766287 -0.3967280920
## 23 0.951863976 -0.0769681900 -0.219517073 0.120893372 -0.3421600285
## 24 0.095539826 0.0651550583 0.029651045 -0.012197733 0.1471579650
## 25 -0.734840381 -0.7561054781 -0.278001541 -1.273542765 0.0662511665
## 26 0.494253801 0.0829017276 -0.087042222 0.335995178 0.6686192208
## 27 1.219675724 0.3473208400 -0.118633159 1.409979591 1.0286389588
## 28 -1.041488146 -0.2161509584 -0.829347522 -0.448322267 -0.2646588750
## 29 -0.837946225 0.2926483701 0.133017998 1.000956763 0.8888048793
## 30 0.404992386 0.1465291483 0.689510060 -0.526647777 0.4152453066
## 31 -0.863377283 0.8313440043 0.490013777 1.143399608 -0.8880189012
## 32 1.135636716 -0.4148927197 -1.304990553 0.638676216 0.2022641052
## 33 0.828808911 -0.6314252501 -0.319879928 -0.179981187 -0.9960511402
## 34 -1.045951865 0.0668733975 -0.398041733 0.851525389 -0.2799188786
## 35 0.009148572 0.9825179146 -0.693330830 0.687387035 -0.9228988259
## 36 0.003684991 -0.4452323697 0.131529168 0.435770915 -0.5539587221
## 37 -1.864892347 -0.2768934238 -1.318510710 -1.321186730 -0.2473171349
## 38 -0.021480573 -0.3037972350 -0.919328509 1.015139336 -1.1288114460
## 39 -1.480099028 0.0080071951 -0.864049795 -0.975689884 -0.4962413909
## 40 -1.149182018 0.1416856598 -0.300607468 -0.552503014 -0.3531137163
## 41 0.806124346 -0.1179494334 0.638998799 0.611840391 0.4739033034
## 42 2.023023934 -0.1990796775 -0.721549002 -0.445591628 -0.3057797375
## 43 0.118601406 1.1488752332 1.127125769 -0.819164504 2.0210436648
## 44 0.370000163 -0.3286131012 -0.391529217 -0.756123983 0.9131450099
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## 47 -0.825820015 -1.4698517789 -1.565778171 -0.912485003 -1.6294596013
## 48 -1.665852215 0.3708029720 0.525802391 0.726885898 0.2313883640
## 49 1.008512627 -0.1394632519 -0.443699967 0.933724085 1.2044084929
## 50 0.400890266 -0.8467778863 1.276292343 -0.515240987 0.6590492803
## 51 -0.203704842 0.7304241801 -0.305652649 0.014290211 1.4018728347
## 52 1.318968269 1.2676593358 -0.089367897 -2.200932157 -0.0105380974
## 53 -0.471740318 0.0747768687 0.312992783 1.462436004 -0.3283840429
## 54 -0.248509625 -0.7626119578 1.151848027 0.102037854 -1.1656168492
## 55 0.059631997 -0.3422837836 0.631467132 -0.430910715 0.7213219035
## 56 1.187959690 -0.3529930654 0.325920926 -0.635921694 -0.3963700610
## 57 -1.516700646 -0.5463492685 -0.689798999 0.290699987 0.6539578856
## 58 0.063045575 -1.5632941214 -0.689317295 0.965257941 -1.1668081449
## 59 -0.585555242 0.3180404088 -0.613800091 -1.021079901 -0.7911169580
## 60 0.168377749 -0.6514696533 0.427877290 -0.691209791 1.1214395016
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## 63 0.562045314 0.6087100581 0.546564854 -1.127522933 0.0423631652
## 64 1.562104579 0.1679151372 -0.759164794 0.914358164 0.4221507490
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## 68 0.243501794 -0.7449588229 0.901164989 -0.639258371 0.2572572643
## 69 0.318511999 0.9865425504 -0.724604727 1.167513640 -0.3950871256
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## 71 0.395563837 -0.6353653669 -1.046143203 -0.395446609 0.4200325778
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## 81 0.736805720 0.0931148821 -0.548849539 0.929741566 0.1710456599
## 82 0.331212303 -0.6604685218 0.483127310 -0.383953382 0.0299625586
## 83 -0.494038249 -0.1809526966 -0.693029162 -0.321202640 1.2130307510
## 84 -0.247720716 -1.9830952857 -0.064812692 0.673317030 0.2488693728
## 85 0.293303760 -0.2526473413 0.760814035 0.442096802 -0.2483130580
## 86 0.854198843 -1.0578870797 0.246599297 0.268291758 0.0528875299
## 87 0.019427201 -0.7472741460 -0.315263937 -0.339431116 0.8530010449
## 88 0.515099491 2.2369077013 -0.708746469 -0.099849514 -0.4085056983
## 89 0.396677405 1.0281156094 1.251735506 0.365048538 0.6113069945
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## 92 -0.459819133 0.2415520696 -0.701715520 0.943060828 -0.4390341268
## 93 0.577211676 0.8769549835 0.467237575 -0.293414270 -0.7410211870
## 94 0.376024108 -0.5759689750 0.918623238 1.180562016 -0.2256674920
## 95 0.376550480 -1.1251383134 0.986458836 0.529105777 -1.1761631521
## 96 0.256931250 1.0610395622 -0.053629478 0.064945845 -0.5656595143
## 97 -0.478982591 -0.4067158254 -0.469145662 1.271401627 1.3387050869
## 98 -0.564062512 -3.0245294479 0.224081729 -0.554508893 0.2526254534
## 99 1.600824809 -0.1890302916 -0.476698915 -0.651020429 -1.1351435908
## 100 0.031125975 0.5189074993 0.558725281 0.430966100 -0.2377379712
## 101 0.197998438 0.0167154008 0.111369110 -0.132114611 -0.7366617528
## 102 -0.232379694 0.3170869111 -1.303548212 0.056202797 0.0039380143
## 103 0.097994130 -0.0417656755 -0.142942833 -0.152476705 0.2511952063
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## 105 -1.037444131 -0.2112538879 0.033504034 1.106887063 -0.2613662304
## 106 0.297656183 0.2983409313 0.139191347 0.529135533 -0.1804720323
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## 108 -0.528340518 0.1251328831 -0.768143809 -0.088742811 1.0350856613
## 109 -0.142842041 -1.8814894234 0.895453078 1.186341067 -0.0392106502
## 110 1.032007126 -0.3873793935 -0.816200335 -0.424840010 0.8279075380
## 111 0.481548479 0.3114823182 0.292619651 0.622543704 0.4464357392
## 112 1.559874683 0.5833313450 0.424954703 0.585170837 0.0450815216
## 113 -1.510634671 0.2747947549 -0.496823920 1.038737062 0.1047037030
## 114 -0.115316858 0.2975403823 -0.012049023 0.494542530 0.1300361673
## 115 -0.188075600 0.8888540550 1.141636781 0.988710888 0.6328114784
## 116 0.056360617 1.0870240618 -0.357582970 -0.380795621 -0.4688026328
## 117 -0.731441650 -0.2534189793 0.607429918 -0.043427608 0.4755427006
## 118 1.575533621 -0.3750519323 -0.273590252 0.282372467 -0.1540428813
## 119 0.002893875 -0.6734814665 -0.163531606 -0.087412681 0.0663117691
## 120 0.446413642 -0.1277354242 -0.996326871 1.533737482 0.9768585655
## 121 0.267340266 -0.5660987518 -0.007395508 -1.279686466 -0.7323835988
## 122 0.046445956 0.7468656629 0.483713407 0.247944485 -0.2913995915
## 123 0.909000719 0.0897831534 1.177838651 -0.947387266 -0.3197825387
## 124 0.629823071 0.2879453770 1.029217109 -0.552474310 1.3399238865
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## 126 0.622477115 -0.5249701939 -0.121688716 -0.490384411 0.5245018888
## 127 -0.751432612 0.0410632906 0.737055324 0.247121500 0.2607815840
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## 129 0.154926058 -1.4391681156 0.274585841 0.185280098 -0.0479047276
## 130 0.270625145 0.3443025149 0.360694788 0.564730189 -0.2459314922
## 131 0.748888428 -0.7342885254 0.021271498 0.153580439 0.2566140136
## 132 0.292263416 0.4171591028 -0.584429409 0.931877149 -1.0174449090
## 133 0.632725753 0.7066884287 0.401761592 0.397497447 -0.8849132904
## 134 0.082412656 -0.1684765550 -0.870702276 -0.460534180 0.4826390917
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## 136 1.781096755 -0.8817805695 0.475251084 0.458090033 0.1610472198
## 137 0.486212420 1.2972806649 -1.259504124 0.426123376 0.9838162454
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## 142 -0.114333649 -0.0227009135 0.406267180 -0.010405241 1.2048803881
## 143 1.878384008 -0.2393013201 -0.157397029 -0.808686716 -0.9757275257
## 144 -0.607143298 0.1189496401 -0.477891520 -0.166257131 -0.2144755379
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## 147 -0.086011284 0.5618417957 0.276456518 -0.770593330 0.3672118599
## 148 0.160227162 -2.1881068236 0.902234343 1.106876115 -0.0786894943
## 149 0.031317302 0.1911905163 0.005616693 -0.018958445 0.0881407007
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## 151 0.789761746 -0.0174189036 0.847593039 0.723763015 0.3713978512
## 152 2.037954543 -0.2982559638 -0.565114272 -0.486874526 -0.2751620212
## 153 0.128639109 1.2161735687 0.908866917 -0.771517783 2.0159239490
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## 159 1.005679461 0.1691497143 0.301254883 1.396244152 0.8544999510
## 160 0.358603585 -0.7299125978 0.855931458 -0.564462146 0.6768503139
## 161 -0.118277128 0.3147405380 -0.961954969 -0.370877751 1.7798329478
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## 309 1.875453301 0.5883067607 0.490080068 0.307284192 -1.0199760971
## PC16 PC17
## 1 -0.204699168 0.399778790
## 2 0.045288943 0.292915024
## 3 -0.271595154 -0.814045516
## 4 -0.371673537 1.078203419
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## 30 0.546906491 0.990041317
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## 164 0.226252313 -0.216161914
## 165 -0.677481397 1.415588471
## 166 -0.583691233 0.119191040
## 167 0.293109180 0.174793193
## 168 -0.203669862 0.239594626
## 169 0.743351273 0.219123542
## 170 0.130802257 -0.400058587
## 171 -0.410579567 0.611738612
## 172 -1.026212619 -0.272878294
## 173 0.242101208 0.488238862
## 174 -0.288948646 -0.279987488
## 175 1.601354083 -0.114113845
## 176 -1.520591312 -0.365248874
## 177 -0.085103098 0.421068268
## 178 0.047903515 0.346408715
## 179 0.290577969 0.257721538
## 180 0.058594121 -0.016260362
## 181 0.351179366 0.395519794
## 182 0.067019098 0.018984832
## 183 0.069867765 -0.454941763
## 184 0.068081891 0.334040887
## 185 -0.180412417 0.376233283
## 186 -0.039127144 0.230944364
## 187 -0.461598407 -0.299418857
## 188 -0.863571623 0.415674312
## 189 0.164826381 -0.745791996
## 190 0.055938829 -0.226902271
## 191 -1.130935409 0.447494847
## 192 -0.780931794 -0.127862513
## 193 -0.218573295 -0.492468351
## 194 -0.164408869 -0.368908455
## 195 -0.723395579 0.067538846
## 196 0.685196206 0.204171257
## 197 0.169355098 -0.549958598
## 198 -0.769993878 0.122808536
## 199 0.128325234 0.614367708
## 200 -0.115885447 0.264880595
## 201 0.569809145 0.268030342
## 202 -1.012129894 -0.350160623
## 203 -0.449618464 0.852052206
## 204 1.060227957 -0.534824136
## 205 -0.614394865 0.846168128
## 206 -0.773683331 0.063697140
## 207 0.510641502 0.044842721
## 208 0.539028601 -0.851370448
## 209 -1.093386790 -0.122726928
## 210 -0.155246654 0.001096426
## 211 -0.194613598 -0.072297240
## 212 -0.321072705 -0.504598778
## 213 0.179998006 -0.184224234
## 214 0.259444768 0.009943970
## 215 -0.780618138 0.139516314
## 216 -0.198320989 0.234820841
## 217 0.268641865 0.234126153
## 218 0.453731649 -0.077289733
## 219 1.088579218 -0.729502626
## 220 -0.676442863 0.168806418
## 221 0.347355852 -1.056801166
## 222 -0.165990170 -1.283069689
## 223 0.332638512 -0.293672149
## 224 0.795452124 -0.679781217
## 225 -0.988260241 0.662611902
## 226 0.110787399 -0.291810588
## 227 -0.252893278 0.923464117
## 228 -0.433616613 0.144755671
## 229 0.066773967 0.275017663
## 230 0.063241523 -0.101200129
## 231 1.179012497 0.462607684
## 232 -0.019352945 -0.148293626
## 233 -0.615282088 0.926318797
## 234 -0.681058673 -0.744278153
## 235 0.786713435 0.356755296
## 236 -0.374744887 -0.315348333
## 237 1.269945960 0.064941224
## 238 -1.574325649 -0.425168932
## 239 -0.740202720 0.388446323
## 240 -0.117226699 -0.428558305
## 241 0.955826543 -0.268608022
## 242 -0.232986784 0.174246513
## 243 -0.030911579 -0.178010067
## 244 -1.116037385 -0.443587411
## 245 0.040368748 0.267750892
## 246 1.404264474 -1.478292614
## 247 0.978839680 0.483021714
## 248 0.603511293 1.157426119
## 249 0.692486224 0.040663628
## 250 -0.722358199 -0.980492359
## 251 0.905558470 0.015177064
## 252 -0.818092266 -0.133033980
## 253 0.321527445 -0.257408901
## 254 -0.070998352 0.016638914
## 255 0.637360258 0.497985009
## 256 -0.183950774 0.629102932
## 257 0.001359994 -0.002573657
## 258 -0.199281757 -0.231513525
## 259 -0.767591488 -0.674397629
## 260 0.473512663 0.278870895
## 261 0.279643315 -0.373044027
## 262 1.231233143 -0.616917441
## 263 1.196629303 0.206480172
## 264 0.154833871 0.622433628
## 265 -0.106378218 0.206223917
## 266 0.516903811 0.396282048
## 267 -1.619758037 -0.272082445
## 268 0.326323508 -0.089511243
## 269 -0.174273385 -0.580481396
## 270 0.117172450 -0.841650045
## 271 0.058390380 0.788983893
## 272 0.062226434 -0.005549539
## 273 0.120922819 -0.511551264
## 274 -0.104788706 -0.658045736
## 275 0.155305470 -0.417142635
## 276 0.258037515 0.001018338
## 277 -0.471111047 -0.560894424
## 278 -0.009003091 0.546602298
## 279 0.087872999 0.607421705
## 280 -0.181710770 -0.644080424
## 281 -0.184704565 0.404085944
## 282 0.381975583 -0.300021491
## 283 -0.599984450 -0.026298504
## 284 -0.130302106 0.170677295
## 285 -0.054769022 0.159784347
## 286 -0.357835410 0.115076387
## 287 -0.335197519 0.362168104
## 288 0.068117172 0.532982330
## 289 -0.109459288 -0.700975579
## 290 0.057996353 0.237331002
## 291 0.442745185 -0.109642684
## 292 -0.638324403 0.131842402
## 293 -0.586836031 -0.339105240
## 294 0.622801658 -0.405256743
## 295 0.146444590 -1.191554915
## 296 0.643560584 0.500112321
## 297 0.473122824 1.188323428
## 298 0.244203227 0.124670211
## 299 -0.932773979 -0.723538859
## 300 0.720091571 0.108483530
## 301 -0.501085666 -0.447556210
## 302 0.718340959 -0.098268391
## 303 0.109617474 -0.207952469
## 304 0.030515055 0.610897882
## 305 -0.400852865 0.425130764
## 306 -0.037178820 0.247090067
## 307 -0.562633443 -0.019336438
## 308 -0.714004235 -0.783153726
## 309 0.737576367 0.096973111
# Means of scores for all the PC's classified by Survival status
tabmeansPC <- aggregate(cancerp_pca[,2:15],by=list(LUNG_CANCER=cancer$LUNG_CANCER),mean)
tabmeansPC
## LUNG_CANCER PC1 PC2 PC3 PC4 PC5
## 1 NO 0.33366607 -1.0169661 -0.7839497 -1.097169 0.010636897
## 2 YES -0.04819621 0.1468951 0.1132372 0.158480 -0.001536441
## PC6 PC7 PC8 PC9 PC10 PC11
## 1 0.8480279 -0.13586975 0.09232115 -0.14776307 -0.07819061 -0.18188979
## 2 -0.1224929 0.01962563 -0.01333528 0.02134355 0.01129420 0.02627297
## PC12 PC13 PC14
## 1 0.11610476 -0.21705424 0.11768416
## 2 -0.01677069 0.03135228 -0.01699882
tabmeansPC <- tabmeansPC[rev(order(tabmeansPC$LUNG_CANCER)),]
tabmeansPC
## LUNG_CANCER PC1 PC2 PC3 PC4 PC5
## 2 YES -0.04819621 0.1468951 0.1132372 0.158480 -0.001536441
## 1 NO 0.33366607 -1.0169661 -0.7839497 -1.097169 0.010636897
## PC6 PC7 PC8 PC9 PC10 PC11
## 2 -0.1224929 0.01962563 -0.01333528 0.02134355 0.01129420 0.02627297
## 1 0.8480279 -0.13586975 0.09232115 -0.14776307 -0.07819061 -0.18188979
## PC12 PC13 PC14
## 2 -0.01677069 0.03135228 -0.01699882
## 1 0.11610476 -0.21705424 0.11768416
tabfmeans <- t(tabmeansPC[,-1])
tabfmeans
## 2 1
## PC1 -0.048196210 0.33366607
## PC2 0.146895102 -1.01696609
## PC3 0.113237181 -0.78394971
## PC4 0.158479973 -1.09716904
## PC5 -0.001536441 0.01063690
## PC6 -0.122492912 0.84802785
## PC7 0.019625631 -0.13586975
## PC8 -0.013335277 0.09232115
## PC9 0.021343555 -0.14776307
## PC10 0.011294199 -0.07819061
## PC11 0.026272969 -0.18188979
## PC12 -0.016770687 0.11610476
## PC13 0.031352279 -0.21705424
## PC14 -0.016998823 0.11768416
colnames(tabfmeans) <- t(as.vector(tabmeansPC[1]$LUNG_CANCER))
tabfmeans
## YES NO
## PC1 -0.048196210 0.33366607
## PC2 0.146895102 -1.01696609
## PC3 0.113237181 -0.78394971
## PC4 0.158479973 -1.09716904
## PC5 -0.001536441 0.01063690
## PC6 -0.122492912 0.84802785
## PC7 0.019625631 -0.13586975
## PC8 -0.013335277 0.09232115
## PC9 0.021343555 -0.14776307
## PC10 0.011294199 -0.07819061
## PC11 0.026272969 -0.18188979
## PC12 -0.016770687 0.11610476
## PC13 0.031352279 -0.21705424
## PC14 -0.016998823 0.11768416
# Standard deviations of scores for all the PC's classified by Survival status
tabsdsPC <- aggregate(cancerp_pca[,2:15],by=list(LUNG_CANCER=cancer$LUNG_CANCER),sd)
tabfsds <- t(tabsdsPC[,-1])
colnames(tabfsds) <- t(as.vector(tabsdsPC[1]$LUNG_CANCER))
tabfsds
## NO YES
## PC1 1.1609600 1.7524300
## PC2 1.5776135 1.3108022
## PC3 1.3045548 1.2613646
## PC4 1.1200050 1.1441594
## PC5 1.1304709 1.1454427
## PC6 1.0748310 0.9720025
## PC7 0.8220952 0.9970793
## PC8 1.1019348 0.9205512
## PC9 0.9200968 0.9004061
## PC10 0.6403545 0.8712853
## PC11 0.8557198 0.7849393
## PC12 0.7749977 0.7640128
## PC13 0.6910340 0.7296813
## PC14 0.6131616 0.7318746
t.test(PC1~cancer$LUNG_CANCER,data=cancerp_pca)
##
## Welch Two Sample t-test
##
## data: PC1 by cancer$LUNG_CANCER
## t = 1.7817, df = 66.117, p-value = 0.07939
## alternative hypothesis: true difference in means between group NO and group YES is not equal to 0
## 95 percent confidence interval:
## -0.04603076 0.80975531
## sample estimates:
## mean in group NO mean in group YES
## 0.33366607 -0.04819621
t.test(PC2~cancer$LUNG_CANCER,data=cancerp_pca)
##
## Welch Two Sample t-test
##
## data: PC2 by cancer$LUNG_CANCER
## t = -4.3933, df = 45.892, p-value = 6.533e-05
## alternative hypothesis: true difference in means between group NO and group YES is not equal to 0
## 95 percent confidence interval:
## -1.6971443 -0.6305781
## sample estimates:
## mean in group NO mean in group YES
## -1.0169661 0.1468951
t.test(PC3~cancer$LUNG_CANCER,data=cancerp_pca)
##
## Welch Two Sample t-test
##
## data: PC3 by cancer$LUNG_CANCER
## t = -4.0313, df = 48.83, p-value = 0.0001939
## alternative hypothesis: true difference in means between group NO and group YES is not equal to 0
## 95 percent confidence interval:
## -1.3444652 -0.4499086
## sample estimates:
## mean in group NO mean in group YES
## -0.7839497 0.1132372
t.test(PC4~cancer$LUNG_CANCER,data=cancerp_pca)
##
## Welch Two Sample t-test
##
## data: PC4 by cancer$LUNG_CANCER
## t = -6.5267, df = 50.159, p-value = 3.26e-08
## alternative hypothesis: true difference in means between group NO and group YES is not equal to 0
## 95 percent confidence interval:
## -1.6420402 -0.8692579
## sample estimates:
## mean in group NO mean in group YES
## -1.097169 0.158480
t.test(PC5~cancer$LUNG_CANCER,data=cancerp_pca)
##
## Welch Two Sample t-test
##
## data: PC5 by cancer$LUNG_CANCER
## t = 0.062756, df = 49.951, p-value = 0.9502
## alternative hypothesis: true difference in means between group NO and group YES is not equal to 0
## 95 percent confidence interval:
## -0.3774538 0.4018004
## sample estimates:
## mean in group NO mean in group YES
## 0.010636897 -0.001536441
## F ratio tests
var.test(PC1~cancer$LUNG_CANCER,data=cancerp_pca)
##
## F test to compare two variances
##
## data: PC1 by cancer$LUNG_CANCER
## F = 0.43889, num df = 38, denom df = 269, p-value = 0.003044
## alternative hypothesis: true ratio of variances is not equal to 1
## 95 percent confidence interval:
## 0.2822169 0.7462698
## sample estimates:
## ratio of variances
## 0.4388875
var.test(PC2~cancer$LUNG_CANCER,data=cancerp_pca)
##
## F test to compare two variances
##
## data: PC2 by cancer$LUNG_CANCER
## F = 1.4485, num df = 38, denom df = 269, p-value = 0.1008
## alternative hypothesis: true ratio of variances is not equal to 1
## 95 percent confidence interval:
## 0.9314439 2.4630293
## sample estimates:
## ratio of variances
## 1.448528
var.test(PC3~cancer$LUNG_CANCER,data=cancerp_pca)
##
## F test to compare two variances
##
## data: PC3 by cancer$LUNG_CANCER
## F = 1.0697, num df = 38, denom df = 269, p-value = 0.7354
## alternative hypothesis: true ratio of variances is not equal to 1
## 95 percent confidence interval:
## 0.6878174 1.8188047
## sample estimates:
## ratio of variances
## 1.069654
var.test(PC4~cancer$LUNG_CANCER,data=cancerp_pca)
##
## F test to compare two variances
##
## data: PC4 by cancer$LUNG_CANCER
## F = 0.95822, num df = 38, denom df = 269, p-value = 0.9115
## alternative hypothesis: true ratio of variances is not equal to 1
## 95 percent confidence interval:
## 0.6161645 1.6293318
## sample estimates:
## ratio of variances
## 0.9582235
var.test(PC5~cancer$LUNG_CANCER,data=cancerp_pca)
##
## F test to compare two variances
##
## data: PC5 by cancer$LUNG_CANCER
## F = 0.97403, num df = 38, denom df = 269, p-value = 0.964
## alternative hypothesis: true ratio of variances is not equal to 1
## 95 percent confidence interval:
## 0.6263281 1.6562075
## sample estimates:
## ratio of variances
## 0.9740294
# Levene's tests (one-sided)
library(car)
## Loading required package: carData
##
## Attaching package: 'car'
##
## The following object is masked from 'package:purrr':
##
## some
##
## The following object is masked from 'package:dplyr':
##
## recode
(LTPC1 <- leveneTest(PC1~cancer$LUNG_CANCER,data=cancerp_pca))
## Warning in leveneTest.default(y = y, group = group, ...): group coerced to
## factor.
## Levene's Test for Homogeneity of Variance (center = median)
## Df F value Pr(>F)
## group 1 15.948 8.155e-05 ***
## 307
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
(p_PC1_1sided <- LTPC1[[3]][1]/2)
## [1] 4.077569e-05
(LTPC2 <- leveneTest(PC2~cancer$LUNG_CANCER,data=cancerp_pca))
## Warning in leveneTest.default(y = y, group = group, ...): group coerced to
## factor.
## Levene's Test for Homogeneity of Variance (center = median)
## Df F value Pr(>F)
## group 1 2.8536 0.09219 .
## 307
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
(p_PC2_1sided=LTPC2[[3]][1]/2)
## [1] 0.04609283
(LTPC3 <- leveneTest(PC3~cancer$LUNG_CANCER,data=cancerp_pca))
## Warning in leveneTest.default(y = y, group = group, ...): group coerced to
## factor.
## Levene's Test for Homogeneity of Variance (center = median)
## Df F value Pr(>F)
## group 1 0.0114 0.9149
## 307
(p_PC3_1sided <- LTPC3[[3]][1]/2)
## [1] 0.4574471
(LTPC4 <- leveneTest(PC4~cancer$LUNG_CANCER,data=cancerp_pca))
## Warning in leveneTest.default(y = y, group = group, ...): group coerced to
## factor.
## Levene's Test for Homogeneity of Variance (center = median)
## Df F value Pr(>F)
## group 1 2e-04 0.9883
## 307
(p_PC4_1sided <- LTPC4[[3]][1]/2)
## [1] 0.4941392
(LTPC5 <- leveneTest(PC5~cancer$LUNG_CANCER,data=cancerp_pca))
## Warning in leveneTest.default(y = y, group = group, ...): group coerced to
## factor.
## Levene's Test for Homogeneity of Variance (center = median)
## Df F value Pr(>F)
## group 1 0.0881 0.7668
## 307
(p_PC5_1sided <- LTPC5[[3]][1]/2)
## [1] 0.3833996
# Plotting the scores for the first and second components
plot(cancerp_pca$PC1, cancerp_pca$PC2,pch=ifelse(cancerp_pca$LUNG_CANCER == "YES",1,16),xlab="PC1", ylab="PC2", main="310 people against values for PC1 & PC2")
abline(h=0)
abline(v=0)
legend("bottomleft", legend=c("Cancer","No_Cancer"), pch=c(1,16))
plot(eigen_cancer, xlab = "Component number", ylab = "Component variance", type = "l", main = "Scree diagram")
plot(log(eigen_cancer), xlab = "Component number",ylab = "log(Component variance)", type="l",main = "Log(eigenvalue) diagram")
print(summary(cancer_pca))
## Importance of components:
## PC1 PC2 PC3 PC4 PC5 PC6 PC7
## Standard deviation 1.6925 1.3991 1.29946 1.21349 1.14175 1.03533 0.97690
## Proportion of Variance 0.1685 0.1152 0.09933 0.08662 0.07668 0.06305 0.05614
## Cumulative Proportion 0.1685 0.2837 0.38299 0.46961 0.54629 0.60934 0.66548
## PC8 PC9 PC10 PC11 PC12 PC13 PC14
## Standard deviation 0.94401 0.90315 0.84528 0.79577 0.76541 0.72853 0.71848
## Proportion of Variance 0.05242 0.04798 0.04203 0.03725 0.03446 0.03122 0.03037
## Cumulative Proportion 0.71790 0.76588 0.80791 0.84516 0.87962 0.91084 0.94121
## PC15 PC16 PC17
## Standard deviation 0.63523 0.56479 0.52625
## Proportion of Variance 0.02374 0.01876 0.01629
## Cumulative Proportion 0.96495 0.98371 1.00000
diag(cov(cancer_pca$x))
## PC1 PC2 PC3 PC4 PC5 PC6 PC7 PC8
## 2.8645733 1.9575778 1.6886084 1.4725468 1.3035915 1.0719035 0.9543405 0.8911585
## PC9 PC10 PC11 PC12 PC13 PC14 PC15 PC16
## 0.8156856 0.7144905 0.6332509 0.5858596 0.5307591 0.5162084 0.4035160 0.3189926
## PC17
## 0.2769370
xlim <- range(cancer_pca$x[,1])
cancer_pca$x[,1]
## [1] -0.646329947 -0.610508061 -0.749550736 1.096019632 0.036188930
## [6] -0.532567242 -2.543550172 2.572207921 1.272938608 1.396823254
## [11] 2.064989024 -3.094017924 0.217887666 -3.138457875 -2.644849262
## [16] 1.650628200 -2.832351242 1.926614145 2.058726013 0.277622753
## [21] 3.229605844 1.856494117 -0.050480044 -3.114648178 0.277610744
## [26] -0.593103049 0.798726715 -1.483179713 1.135171580 -1.513992882
## [31] 1.249804903 -1.015659657 1.959456710 2.332965976 1.785139801
## [36] 2.803119610 -0.906183428 0.625607571 -0.980782008 -2.531034433
## [41] -1.849943675 -0.768929068 1.593703995 -1.913272210 1.543800949
## [46] 0.292377930 -0.251600030 0.254838293 0.179367433 0.952911843
## [51] -0.851848170 0.301087025 -0.906545994 -1.669956979 0.195017025
## [56] 0.200650077 0.518073225 -1.831824121 0.685756178 -0.498748639
## [61] -0.851501742 1.671406217 -1.102287719 0.487489582 -1.821523333
## [66] 1.890194887 -0.908993115 -2.188253111 1.922127515 1.831473258
## [71] 1.111645609 1.972055116 -3.014541351 0.297544932 -3.123513629
## [76] -2.175119346 0.988165063 -3.171148404 1.909872378 1.884232732
## [81] 0.148410514 3.159260208 1.589202745 -0.735262114 -2.492696658
## [86] 0.164831585 -0.791080564 1.019972886 1.355490521 -0.217694604
## [91] 0.200980870 -1.224091912 -1.377079915 1.105509567 -1.763739245
## [96] 2.144246653 -0.247301899 -0.943580309 1.434728986 -3.084789560
## [101] -2.211988131 0.934186102 -3.134406710 1.829037095 1.889637650
## [106] 0.304495611 3.150251750 1.504721972 -0.513569276 -2.049787993
## [111] -0.548863117 0.137370850 -0.769133382 1.052948611 -0.832893079
## [116] -0.521560718 -2.590558669 2.565856126 1.890132650 1.809485293
## [121] 1.154753405 -3.068643554 0.603092803 -0.262265717 -2.166676433
## [126] 1.396820173 -2.621538470 1.904628487 2.449232521 0.346806820
## [131] 3.029389183 1.929414827 -0.087138867 -3.286936885 -0.243063096
## [136] -0.885383059 0.779845934 -1.475619881 1.315156524 -1.435594309
## [141] 0.311554205 -1.898169897 1.817982682 1.132188201 1.041211639
## [146] 1.911956582 -2.208254898 0.199618587 -3.151824202 -2.581152399
## [151] -1.821212050 -0.709027954 1.527353442 0.134446169 2.379419131
## [156] 1.816004356 0.693446059 1.637082331 0.296933463 0.822754284
## [161] -0.918911402 0.231900961 -1.013939681 -1.772694007 0.113097963
## [166] 0.075576812 0.477358107 -1.789229364 0.719595969 -0.479345237
## [171] -0.706487604 1.659264316 -1.053631487 0.439619994 -1.736485551
## [176] 1.908193822 -1.025193951 -2.229264288 1.957225328 1.838526733
## [181] 1.180112751 1.811861750 -3.110670459 0.360229263 -3.223541067
## [186] -2.269746579 2.747577269 -0.149697264 2.400777592 2.664155409
## [191] 0.613534144 2.833005133 3.117056920 1.396552964 -2.512642306
## [196] 0.041302770 -0.813244847 0.986709032 1.252252204 -0.137885258
## [201] 0.136542296 -1.270419897 -1.511779573 1.085397022 -1.937338444
## [206] 2.079880884 -0.238660237 -0.159651843 1.500566250 -3.014209221
## [211] -2.105058072 0.942418911 -3.148924082 1.878394695 1.966715740
## [216] 0.277041266 3.171498795 1.556928786 -0.616500433 -2.586211894
## [221] 0.137716815 0.865093182 -0.913971012 0.313977949 -1.072776501
## [226] -1.699472023 0.251825578 0.014567830 0.504752774 -1.698692239
## [231] 0.558690456 -0.464475998 -0.736607022 1.791907070 -1.021622690
## [236] 0.511871527 -1.857682768 1.973432877 -0.844025398 1.798603632
## [241] 0.567970913 -3.128591618 0.921300172 -0.707766669 0.727027732
## [246] -0.813209418 1.137562086 -1.568549443 0.206337661 0.582400965
## [251] 1.852485410 1.069824793 1.320083419 1.826416008 -2.295131492
## [256] 0.184324517 -3.143108851 -2.658851944 -1.871308247 -0.711591973
## [261] 1.686997211 -1.858110215 -0.009983675 -0.640492349 -2.667743902
## [266] 2.455060778 1.289042304 1.464834078 2.198079582 -2.876746306
## [271] 0.060055521 -3.142504794 -2.634807935 1.505301199 -2.740709424
## [276] 1.905774831 2.017633169 0.099735552 3.015656624 1.825438683
## [281] -0.131569292 -1.322834911 1.736775731 -0.592930367 1.928894090
## [286] 2.367428208 0.290098251 3.070879292 1.901858849 -0.148458186
## [291] -3.160670480 -0.350752444 -0.898366238 0.861502720 -1.473211209
## [296] 1.111453285 -1.529405423 0.258107397 -1.904656129 1.848956846
## [301] 1.150509115 1.152918867 1.932277477 -2.222289178 0.309135098
## [306] -3.290318919 -2.664442991 -1.831829290 -0.648431973
cancer_pca$x
## PC1 PC2 PC3 PC4 PC5
## [1,] -0.646329947 0.332751806 -0.44274023 2.859184418 0.122598754
## [2,] -0.610508061 0.058855781 0.83878638 -1.618262677 -1.600337930
## [3,] -0.749550736 -1.504421159 2.66955055 -0.633003311 -0.554423032
## [4,] 1.096019632 2.420201554 -1.33296429 -0.623882219 -1.620199492
## [5,] 0.036188930 -1.476567174 1.06322075 -0.297399332 0.877535001
## [6,] -0.532567242 -1.816704968 1.59490775 0.295408659 1.957759532
## [7,] -2.543550172 -0.443750841 0.65879801 -0.490274648 -2.164652907
## [8,] 2.572207921 -0.611692066 0.98184227 -0.400242160 -2.014776748
## [9,] 1.272938608 -1.748902681 -2.03358144 -0.603715268 -0.190135930
## [10,] 1.396823254 2.844502270 -1.74624933 -0.548914628 -0.481234509
## [11,] 2.064989024 -1.179537297 0.77287410 1.619240317 0.200840281
## [12,] -3.094017924 -0.236356800 0.18223710 0.351212010 1.270144781
## [13,] 0.217887666 -2.889346007 -0.91100600 -1.432307481 -1.045267875
## [14,] -3.138457875 -0.373951998 -0.53082600 0.580383563 -1.106225675
## [15,] -2.644849262 1.404467949 -1.44318316 0.143100628 0.232452899
## [16,] 1.650628200 -0.224745382 3.27395413 -0.093011818 -0.017887882
## [17,] -2.832351242 0.682525475 -0.73821564 -0.010801951 0.679269335
## [18,] 1.926614145 2.783633537 -0.57374848 -1.250303351 -1.057854292
## [19,] 2.058726013 -1.588839942 1.68092889 -0.276981888 -0.505797399
## [20,] 0.277622753 -2.858606054 -0.42259847 -2.045803131 0.939549144
## [21,] 3.229605844 -1.107957864 0.54769701 -1.054795775 -1.494603821
## [22,] 1.856494117 1.281078425 1.72529424 0.500791276 1.185679005
## [23,] -0.050480044 -3.127406007 -3.04980327 -1.990025288 -0.705699392
## [24,] -3.114648178 -0.180587030 0.10426359 0.266726364 -1.323963055
## [25,] 0.277610744 3.357861077 0.49327829 0.917467589 0.437189391
## [26,] -0.593103049 0.624184222 0.58814373 2.058674696 -0.508287510
## [27,] 0.798726715 0.817444755 0.93374653 -0.444838292 -2.523918618
## [28,] -1.483179713 -1.292781315 1.00754634 0.715640195 0.065334512
## [29,] 1.135171580 0.783408309 -1.75430086 0.465724163 -0.417313447
## [30,] -1.513992882 -1.471854090 -0.71445396 1.239531591 0.767188290
## [31,] 1.249804903 -1.966549418 -1.89456009 -0.936322757 -0.643651435
## [32,] -1.015659657 1.565562602 -1.96636100 0.688684179 -1.044736566
## [33,] 1.959456710 -0.179323614 -1.66903462 -0.161407143 -1.632984057
## [34,] 2.332965976 0.401390187 0.14559217 -1.127745419 -1.393041621
## [35,] 1.785139801 1.845010472 0.27438022 -1.498888257 -1.437361903
## [36,] 2.803119610 -0.463091900 -0.61631147 -1.129814399 -0.672500165
## [37,] -0.906183428 -0.252869061 0.60868898 -0.552044454 0.490794665
## [38,] 0.625607571 -1.096717211 -0.29615831 -1.482097111 1.247479925
## [39,] -0.980782008 -0.452929695 -1.00809976 -1.791086031 -0.953341909
## [40,] -2.531034433 1.054359249 -2.75170356 0.062941767 1.314619757
## [41,] -1.849943675 -0.036969503 -0.70926167 0.528593229 -1.528261831
## [42,] -0.768929068 0.787507023 -0.50866975 0.164717527 1.435220054
## [43,] 1.593703995 0.429036798 1.52983078 -0.546232596 1.925341348
## [44,] -1.913272210 0.172794143 0.20744605 -0.721150606 -1.789307797
## [45,] 1.543800949 0.459571313 -1.73845136 0.640217881 2.124908844
## [46,] 0.292377930 1.094376928 0.98377124 1.985566661 -0.599839321
## [47,] -0.251600030 0.717276148 0.11116195 -0.575662628 -0.910947467
## [48,] 0.254838293 0.616454646 0.11114292 1.765377472 -0.055649992
## [49,] 0.179367433 1.125141361 2.32349723 -0.520119821 0.277971205
## [50,] 0.952911843 1.162517658 -0.71030972 -2.443376329 1.135427261
## [51,] -0.851848170 0.904980380 1.94819723 -2.525220801 0.637015235
## [52,] 0.301087025 -0.841444915 -0.33470279 0.020924532 -0.407424612
## [53,] -0.906545994 1.108874215 1.03521271 0.179671277 -0.804835301
## [54,] -1.669956979 0.706463198 0.54089194 0.336371630 -0.952496542
## [55,] 0.195017025 -0.473764877 0.02002028 -0.520758210 2.360776695
## [56,] 0.200650077 2.716951889 1.41770341 -0.952121471 0.740632192
## [57,] 0.518073225 -1.367268061 2.81032243 -0.783212228 -0.937364905
## [58,] -1.831824121 1.109402015 -0.45190838 -0.415424258 1.192288451
## [59,] 0.685756178 -0.408794213 0.31395717 0.052650501 -0.299515433
## [60,] -0.498748639 0.460812608 0.14593215 1.348117096 -1.331297016
## [61,] -0.851501742 1.873535014 1.07688266 1.057769336 1.654911975
## [62,] 1.671406217 -0.423441611 0.01975544 -0.908557402 0.637102625
## [63,] -1.102287719 0.573598828 1.07737079 0.769959205 1.589212310
## [64,] 0.487489582 1.589885359 -0.52386479 -1.031169208 2.329019058
## [65,] -1.821523333 0.607204567 2.39323915 0.916516254 0.021873142
## [66,] 1.890194887 0.314196298 0.21915753 1.943292140 0.447955709
## [67,] -0.908993115 -1.002601881 2.42194180 -0.792706294 0.098085784
## [68,] -2.188253111 -1.295291142 -0.20414494 0.389988620 -0.418881441
## [69,] 1.922127515 -0.483661450 -0.89450174 1.892882896 -0.799898913
## [70,] 1.831473258 -1.208432390 0.77153641 2.788481409 0.126999960
## [71,] 1.111645609 2.745232439 -1.90160470 0.587416793 -0.459646651
## [72,] 1.972055116 -0.866834386 1.97362887 1.622670501 -1.020641169
## [73,] -3.014541351 0.230927487 1.82358730 -0.870777134 0.323242135
## [74,] 0.297544932 -3.341535872 -2.66498436 -0.870757883 0.580788533
## [75,] -3.123513629 -0.202316474 0.02439536 0.353201837 -1.241766589
## [76,] -2.175119346 0.619405502 -1.87693522 -0.203685676 0.728913726
## [77,] 0.988165063 0.281111344 2.73257900 1.428695160 0.826564602
## [78,] -3.171148404 -0.393624263 -0.52860137 0.462431181 -1.108134631
## [79,] 1.909872378 2.594516335 -1.37039805 -0.316273317 -0.384527514
## [80,] 1.884232732 -0.836929091 0.25971121 2.107873428 -1.134661282
## [81,] 0.148410514 -2.759622666 0.17058795 -2.012337053 -0.253735238
## [82,] 3.159260208 -1.376912455 -0.46218545 -0.031919056 -0.631448204
## [83,] 1.589202745 3.215922052 1.45544104 -1.156249670 -0.416540691
## [84,] -0.735262114 -0.558683606 0.06426583 -0.614419304 3.046112719
## [85,] -2.492696658 -0.248148077 0.57351965 -1.485832190 -0.156211037
## [86,] 0.164831585 1.067984585 0.76191427 0.778873264 -0.004490012
## [87,] -0.791080564 1.277284906 0.13896203 -0.512508540 0.424119906
## [88,] 1.019972886 1.038546046 0.67879987 0.166896049 -1.036950670
## [89,] 1.355490521 1.048191345 -1.19753355 -1.835391137 0.487381401
## [90,] -0.217694604 1.268039722 0.47349157 -1.166491895 -0.149140965
## [91,] 0.200980870 1.569364821 0.23589533 -1.010042731 0.739065292
## [92,] -1.224091912 -1.370670443 1.95314352 -1.673818763 0.298939223
## [93,] -1.377079915 1.986294419 0.87166613 -2.146700312 -1.490469516
## [94,] 1.105509567 1.009068862 0.89835083 0.952703555 1.771596512
## [95,] -1.763739245 0.521690848 0.52910283 -1.278362192 -1.910301720
## [96,] 2.144246653 1.031814241 0.70297021 -0.327085070 -1.299959938
## [97,] -0.247301899 0.219966733 -1.52379872 0.759730600 -0.649174503
## [98,] -0.943580309 -0.985801589 -2.47162486 0.257887623 0.377111320
## [99,] 1.434728986 0.425244821 0.30490166 1.146598321 0.613218154
## [100,] -3.084789560 -0.318539996 -0.37773171 0.447133452 -1.342039635
## [101,] -2.211988131 0.291466382 -3.00610005 0.509360032 1.226245309
## [102,] 0.934186102 0.103006060 2.09662512 2.008597406 1.345721614
## [103,] -3.134406710 -0.118005299 0.30107545 0.285470960 -1.220197353
## [104,] 1.829037095 2.049999607 -3.14856312 0.573307112 0.274730687
## [105,] 1.889637650 -0.929392727 -0.06656941 2.287498244 -1.058126770
## [106,] 0.304495611 -2.796890852 -0.22372072 -2.193562275 0.775896724
## [107,] 3.150251750 -1.266687571 -0.15055069 0.047749838 -0.490198468
## [108,] 1.504721972 2.576287720 -0.70174306 0.107804727 0.494154681
## [109,] -0.513569276 -0.429919365 0.66685573 -2.146489489 1.272448570
## [110,] -2.049787993 -0.595265518 -1.39788656 -1.626354625 0.259757990
## [111,] -0.548863117 0.551657627 0.36348773 1.955891473 -0.754455175
## [112,] 0.137370850 1.157565543 -0.22654103 0.220013284 -2.581582640
## [113,] -0.769133382 -1.651851800 2.04076114 0.144667909 0.027932525
## [114,] 1.052948611 1.877461485 -3.18476295 0.436016597 -0.942808927
## [115,] -0.832893079 -1.520043078 1.23238975 0.789310913 1.071200271
## [116,] -0.521560718 -1.774839073 1.77212639 0.062067842 1.766517195
## [117,] -2.590558669 -0.606042808 0.07011790 0.065104794 -1.677476972
## [118,] 2.565856126 -0.636635561 0.90085819 -0.352743399 -1.971483866
## [119,] 1.890132650 -1.553285458 -0.21632974 2.489127348 -0.444483208
## [120,] 1.809485293 2.507239709 0.23379629 -0.904604737 -0.130106958
## [121,] 1.154753405 -0.820601807 -0.18191235 3.258811319 -0.010433839
## [122,] -3.068643554 -0.358110282 -0.17957410 0.278724442 1.079820384
## [123,] 0.603092803 -1.663570228 -0.81847194 -1.742527977 -1.373236514
## [124,] -0.262265717 -0.458918399 1.14583763 0.431171055 0.242487727
## [125,] -2.166676433 1.025027556 -2.44144452 -0.175700086 0.158619707
## [126,] 1.396820173 -1.775823130 0.44315452 0.164190546 1.111925399
## [127,] -2.621538470 -1.080128160 -1.50955976 0.829755886 -1.228986208
## [128,] 1.904628487 2.458422492 -1.72758409 -0.464085245 -0.547767196
## [129,] 2.449232521 -1.233115913 1.14940570 0.807738005 -1.464755784
## [130,] 0.346806820 -2.486510669 0.79296731 -2.700072211 0.411814347
## [131,] 3.029389183 -1.278867895 0.12853282 0.002537778 -1.822456522
## [132,] 1.929414827 1.312693320 1.78007480 0.409498610 0.912824308
## [133,] -0.087138867 -2.322217437 -0.65856528 -1.925296028 -0.156916374
## [134,] -3.286936885 -0.510578871 -1.06794608 1.550312925 0.014328320
## [135,] -0.243063096 3.265766261 0.36303718 0.455074271 -0.101216908
## [136,] -0.885383059 -0.103152291 0.79354384 1.149680047 0.191778725
## [137,] 0.779845934 -1.412199847 -1.48333758 0.232939883 -1.659993771
## [138,] -1.475619881 -1.358995678 0.78667103 0.785254199 0.063938933
## [139,] 1.315156524 1.874152974 1.90819130 -1.745565666 -2.120481240
## [140,] -1.435594309 -0.886655409 1.17170443 0.402456719 0.175080477
## [141,] 0.311554205 -1.503514600 1.98669876 -0.611745934 -0.377702324
## [142,] -1.898169897 -0.689807691 -1.77090536 1.813131302 -0.926438974
## [143,] 1.817982682 -0.274894663 -0.25700981 0.816135845 -1.374023354
## [144,] 1.132188201 0.097406071 1.56257454 1.507813279 -0.597525384
## [145,] 1.041211639 2.476633973 -2.22422610 0.853838815 0.789743107
## [146,] 1.911956582 -1.279682355 0.58493540 2.442926394 -0.412810097
## [147,] -2.208254898 0.244829063 1.39493556 -0.446948312 -0.084142771
## [148,] 0.199618587 -1.606668229 -0.56648477 0.211079060 1.819639955
## [149,] -3.151824202 -0.105442765 0.28680901 0.530946496 -0.974148171
## [150,] -2.581152399 1.660530129 -0.45658460 -0.913041511 -0.642489672
## [151,] -1.821212050 0.049106818 -0.42528735 0.326193983 -1.727503000
## [152,] -0.709027954 1.118219938 0.61257539 -0.562639222 0.859330817
## [153,] 1.527353442 -0.054701131 -0.07747901 0.328574008 2.559335815
## [154,] 0.134446169 0.264009802 -1.70348774 -1.428607876 -0.536373103
## [155,] 2.379419131 -0.094554298 0.55507534 -2.767771658 0.132335453
## [156,] 1.816004356 0.546117886 -3.21264766 0.454846344 0.862978356
## [157,] 0.693446059 0.977045613 0.26008812 -3.763916185 -2.021635959
## [158,] 1.637082331 -0.335000397 -2.05755169 -0.746108139 -0.416159349
## [159,] 0.296933463 1.194165867 2.60436670 -1.181630957 -0.546751798
## [160,] 0.822754284 0.670235764 -2.41335728 -1.103663683 2.312033587
## [161,] -0.918911402 0.663806963 1.18690797 -2.128116926 1.024959096
## [162,] 0.231900961 -1.270641543 -1.76967126 0.862961366 0.236368161
## [163,] -1.013939681 1.262821648 1.47304856 0.585206501 -0.098566521
## [164,] -1.772694007 0.767271176 0.63712578 0.973149028 -0.128283972
## [165,] 0.113097963 -0.357041885 0.30262585 -0.029388012 3.038456413
## [166,] 0.075576812 2.276081375 -0.14913244 0.428758735 1.958389064
## [167,] 0.477358107 -2.002383447 0.60892730 0.553159679 -0.100163895
## [168,] -1.789229364 1.010323518 -0.71414648 -0.663628669 0.826928708
## [169,] 0.719595969 -0.266957041 0.81937861 -0.376044152 -0.660229054
## [170,] -0.479345237 0.029424455 -1.25225042 1.746517856 -1.293222426
## [171,] -0.706487604 1.979788355 1.48164274 0.256635741 0.659195101
## [172,] 1.659264316 -0.669984273 -0.80889570 -0.497190062 0.868951875
## [173,] -1.053631487 0.418816948 0.64807542 0.512000760 1.171296835
## [174,] 0.439619994 1.347267284 -1.34471999 -0.491319346 2.768031869
## [175,] -1.736485551 0.889505297 3.31946123 0.301066951 -0.567055601
## [176,] 1.908193822 0.100984757 -0.40588659 1.869485714 0.234457926
## [177,] -1.025193951 -1.347023632 1.14815308 0.528994073 1.290656942
## [178,] -2.229264288 -1.622311063 -1.29643165 0.990124308 0.004899612
## [179,] 1.957225328 -0.433792361 -0.55469125 1.069085426 -1.511190662
## [180,] 1.838526733 -1.356872831 0.31115872 2.847776221 0.079447061
## [181,] 1.180112751 2.940457687 -1.22406253 -0.005852669 -1.024121550
## [182,] 1.811861750 -1.441142807 0.01690577 3.101211177 0.312426585
## [183,] -3.110670459 -0.364952154 -0.24358794 0.575227017 1.429197339
## [184,] 0.360229263 -2.696506149 -0.58357746 -1.726264724 0.050562343
## [185,] -3.223541067 -0.179218190 0.09257126 0.673772079 -0.685860956
## [186,] -2.269746579 0.759892939 -1.50517585 0.258232091 1.433596248
## [187,] 2.747577269 -0.892695063 0.37334010 -0.956311448 1.532003894
## [188,] -0.149697264 -1.642331214 -2.28814301 -1.471419303 -0.781235965
## [189,] 2.400777592 0.347128955 -1.71026348 -1.021489585 0.434261725
## [190,] 2.664155409 -1.393549647 -1.71837991 0.529051941 0.057805594
## [191,] 0.613534144 -1.458382780 0.89659577 -3.179203564 1.045150296
## [192,] 2.833005133 -1.403952109 -1.83872171 -0.412027674 0.480801518
## [193,] 3.117056920 -0.179410694 -1.10177848 -1.856855416 0.106854315
## [194,] 1.396552964 -0.642255545 0.02050933 -3.110585372 1.836705087
## [195,] -2.512642306 0.003850388 1.41044718 -1.765460899 -0.188561541
## [196,] 0.041302770 0.619388750 -0.80700898 2.078283851 1.142567875
## [197,] -0.813244847 0.880928753 -1.22887662 0.288977960 0.912007999
## [198,] 0.986709032 0.840164793 0.05264538 0.423153898 -0.837258657
## [199,] 1.252252204 0.988451934 -1.42301728 -1.323117294 1.159512551
## [200,] -0.137885258 1.481731866 1.13219939 -1.525196202 -0.559153131
## [201,] 0.136542296 1.207505130 -0.99116369 -0.216929658 1.363785406
## [202,] -1.270419897 -2.048452421 -0.26872446 -0.709046147 0.847964695
## [203,] -1.511779573 1.885698680 0.38947345 -1.030942437 -0.282150752
## [204,] 1.085397022 1.243127916 1.68487628 0.664169343 1.724253118
## [205,] -1.937338444 0.418609362 -0.03359575 0.232284332 -0.284578291
## [206,] 2.079880884 0.956433882 0.49279972 -0.166467991 -1.020841607
## [207,] -0.238660237 0.398472349 -1.03260961 0.864147837 -0.508793937
## [208,] -0.159651843 -1.132594137 -0.05598138 -1.013129749 -0.784261739
## [209,] 1.500566250 0.840189583 1.66536450 0.435082161 0.072426854
## [210,] -3.014209221 0.355964728 1.96591223 -1.080854377 -2.396209206
## [211,] -2.105058072 0.929924423 -0.80062808 -1.017803085 0.046453380
## [212,] 0.942418911 0.054526904 1.96648773 1.934291974 1.240767541
## [213,] -3.148924082 -0.594610120 -1.31041545 1.087399067 -0.793683557
## [214,] 1.878394695 2.398574133 -1.99024350 -0.062447648 -0.190863682
## [215,] 1.966715740 -0.630957885 1.05402026 1.155588169 -2.010604775
## [216,] 0.277041266 -2.759604202 -0.07945444 -2.231880620 0.846800791
## [217,] 3.171498795 -0.995402267 0.71278740 -0.251134699 -0.651266456
## [218,] 1.556928786 2.591469129 -0.66355483 -0.035006615 0.235938143
## [219,] -0.616500433 -0.513737474 0.21506585 -1.061891800 2.369939157
## [220,] -2.586211894 -0.187369377 0.72652260 -1.088595931 0.457090666
## [221,] 0.137716815 0.366509534 -0.16792988 0.543739987 0.849702117
## [222,] 0.865093182 0.844185218 -1.74842823 -1.798595288 1.737694179
## [223,] -0.913971012 0.969266395 1.97298215 -1.716775781 1.472684147
## [224,] 0.313977949 -0.945041768 -0.72531396 0.292773295 -0.288118442
## [225,] -1.072776501 0.599121897 -0.68085976 1.492600012 0.450812463
## [226,] -1.699472023 0.930082069 1.24714633 0.260609994 -0.813935347
## [227,] 0.251825578 -0.075337937 1.19428496 -0.695732642 2.249570554
## [228,] 0.014567830 2.117497330 -0.74689429 1.102971967 2.580198736
## [229,] 0.504752774 -1.860630264 1.15079860 0.009577708 -0.529532914
## [230,] -1.698692239 1.131623356 -0.33312414 -1.038468810 0.327760281
## [231,] 0.558690456 -0.191830970 0.83866091 0.887454211 0.824592143
## [232,] -0.464475998 0.564705610 0.54205784 0.907998903 -1.720403026
## [233,] -0.736607022 2.290777684 2.53098650 -0.131746814 0.602622034
## [234,] 1.791907070 -0.482831255 -0.20730594 -1.103593125 0.098407869
## [235,] -1.021622690 1.026768352 2.49920628 0.201024453 1.131623848
## [236,] 0.511871527 1.643341139 -0.30949731 -1.318210021 2.062253193
## [237,] -1.857682768 0.067118102 0.65282615 1.571807247 0.370261802
## [238,] 1.973432877 0.329461293 0.39577264 1.190688519 -0.369711578
## [239,] -0.844025398 -1.043350556 2.43615654 -1.497678287 -0.655538378
## [240,] 1.798603632 1.277822318 1.64041006 0.964305961 1.712072698
## [241,] 0.567970913 -1.465901428 -1.40821954 -1.475588124 1.328585265
## [242,] -3.128591618 -0.100406746 0.42598650 -0.002631206 -1.449540091
## [243,] 0.921300172 2.566347959 0.08444693 -0.327261230 -0.277565465
## [244,] -0.707766669 -0.140351712 0.50896513 0.494931879 0.794661098
## [245,] 0.727027732 -1.433071548 -1.59685113 0.593875654 -1.235796634
## [246,] -0.813209418 -1.199505257 0.40464481 -0.405256608 -0.735537650
## [247,] 1.137562086 1.419593842 0.28112686 -0.123186538 -0.567331492
## [248,] -1.568549443 -1.353854798 -0.38152350 1.471266594 1.164907662
## [249,] 0.206337661 -1.720761209 1.11360977 0.581416058 0.745153770
## [250,] 0.582400965 -1.654341741 -4.03720871 0.592072897 0.127026158
## [251,] 1.852485410 0.064395647 0.86057895 0.277190722 -1.725563610
## [252,] 1.069824793 0.099379354 1.64192217 1.436102237 -0.464752520
## [253,] 1.320083419 3.019301770 -0.60379759 -0.838972788 0.575723760
## [254,] 1.826416008 -1.528447714 -0.21991298 2.977344774 0.131843922
## [255,] -2.295131492 0.231836563 1.14798587 0.601866665 0.972169398
## [256,] 0.184324517 -1.188753076 0.66614989 0.264048756 2.108122913
## [257,] -3.143108851 -0.334761125 -0.41121557 0.580820285 -1.073009725
## [258,] -2.658851944 1.282851605 -1.79186198 0.149784893 0.220653288
## [259,] -1.871308247 -0.027948405 -0.67512508 0.569331753 -1.428769300
## [260,] -0.711591973 0.787827363 -0.51712533 0.015709149 1.149714717
## [261,] 1.686997211 0.200537154 0.82927435 -0.749102450 1.380292709
## [262,] -1.858110215 -0.038377392 -0.44768335 -0.780682656 -2.102146836
## [263,] -0.009983675 -1.961070989 -0.67218900 0.977524185 1.756913624
## [264,] -0.640492349 -2.449177339 -0.47626302 1.394993461 2.816254162
## [265,] -2.667743902 -0.624537600 -0.07078989 0.631216256 -1.022190383
## [266,] 2.455060778 -0.932060495 -0.13446506 0.605103847 -1.049802875
## [267,] 1.289042304 -1.784059560 -2.00134352 -1.157706179 -0.679250082
## [268,] 1.464834078 3.334018842 -0.17613207 -1.228668742 -0.968154666
## [269,] 2.198079582 -0.920094403 1.60613778 0.943922005 -0.588805903
## [270,] -2.876746306 0.339743512 2.19185099 -1.486040419 -0.507401063
## [271,] 0.060055521 -3.317302160 -2.37218122 -0.195895671 0.166259201
## [272,] -3.142504794 -0.257942521 -0.17738398 0.552812520 -1.059087544
## [273,] -2.634807935 1.168554355 -2.23638980 0.468363114 0.337151628
## [274,] 1.505301199 -0.740318106 1.46628345 1.427782791 1.331421460
## [275,] -2.740709424 0.722367627 -0.45692349 -0.908981952 -0.263057377
## [276,] 1.905774831 2.562920015 -1.43666755 -0.402881750 -0.453816513
## [277,] 2.017633169 -1.986659604 0.38967132 0.286357120 -0.144177349
## [278,] 0.099735552 -2.950607582 -0.86988372 -0.826878661 2.360250992
## [279,] 3.015656624 -1.371646389 -0.56504871 0.865577325 0.487728246
## [280,] 1.825438683 0.837995677 0.24336244 1.242694873 1.631988024
## [281,] -0.131569292 -2.296085695 -0.47529079 -2.174913004 -0.202269462
## [282,] -1.322834911 -1.037008743 -0.41131805 -1.699174863 -2.575108219
## [283,] 1.736775731 1.283284999 -1.49919175 -0.917952163 -1.119800076
## [284,] -0.592930367 0.224645288 -0.78024226 2.755903856 -0.168581495
## [285,] 1.928894090 2.708029329 -0.86288820 -1.014020749 -0.920456081
## [286,] 2.367428208 -1.947699135 -1.30903111 2.358687696 -0.378804689
## [287,] 0.290098251 -2.530916123 0.71152818 -2.701725928 0.558829150
## [288,] 3.070879292 -0.884056499 1.49195594 -0.861410776 -2.416739566
## [289,] 1.901858849 1.316866466 1.83316729 0.347207053 0.949670177
## [290,] -0.148458186 -2.510569491 -1.25163372 -1.591987828 0.190570397
## [291,] -3.160670480 -0.142895407 0.08071687 0.912125001 -0.674116273
## [292,] -0.350752444 2.762553158 -1.29900566 1.452158009 0.740670485
## [293,] -0.898366238 -0.174979956 0.55300720 1.296536856 0.308268936
## [294,] 0.861502720 -1.425901982 -1.64547390 0.420718507 -1.767384879
## [295,] -1.473211209 -1.294127913 1.01677328 0.634936076 -0.026911060
## [296,] 1.111453285 0.841309250 -1.52709178 0.333852745 -0.419205639
## [297,] -1.529405423 -1.178528936 0.25100317 0.921255092 0.711687244
## [298,] 0.258107397 -1.743891382 1.19553857 -0.139263124 0.027543069
## [299,] -1.904656129 -0.528637935 -1.18196439 1.415971336 -1.132951811
## [300,] 1.848956846 0.029663156 0.79616089 0.147726816 -1.830864913
## [301,] 1.150509115 0.284559833 2.21074344 1.095715426 -0.877160551
## [302,] 1.152918867 3.108695777 -0.10406543 -0.443281716 -0.231421332
## [303,] 1.932277477 -1.124180447 1.11643983 2.110205036 -0.653007261
## [304,] -2.222289178 0.217516381 1.31604101 -0.408380875 -0.025831892
## [305,] 0.309135098 -1.125563191 1.01347625 -0.729745122 1.004636281
## [306,] -3.290318919 -0.773981843 -1.92760392 1.864300336 0.137285445
## [307,] -2.664442991 1.297484746 -1.64793851 -0.204320402 -0.026482672
## [308,] -1.831829290 0.042083823 -0.43588975 0.322802182 -1.701712188
## [309,] -0.648431973 1.114788359 0.51649880 -0.439377745 0.770588458
## PC6 PC7 PC8 PC9 PC10
## [1,] 0.7182594090 0.0900371245 1.051744451 -1.937650817 0.4989633841
## [2,] -0.6772550951 1.9777064114 -1.557168739 -1.216866754 -0.5305604825
## [3,] 1.1916488129 -1.2195053227 -0.411285727 -0.323523971 -0.1148162874
## [4,] 1.7403584683 0.6091639642 0.258612735 -0.654105790 -0.2130147794
## [5,] 2.1847893962 0.2198466952 1.845426766 0.627204075 -0.6014890431
## [6,] -0.2480383908 1.4550678660 0.483870124 0.558138013 -0.2014692509
## [7,] 0.9965416546 -0.8530147261 0.684045214 -0.285018564 -0.7811912336
## [8,] -0.5055130553 -0.4251606584 -0.227317424 1.333349131 0.1917601304
## [9,] 1.1709683751 0.1970313925 -1.162926497 0.312410711 -1.0231229714
## [10,] -1.4206369931 -0.3235588013 0.045516341 0.241215288 1.0354175725
## [11,] -0.9877439635 -0.2335341620 0.675723070 -0.141706192 -1.1092713774
## [12,] -0.7610221388 0.7783351846 -0.103927236 -0.972945187 0.3836599781
## [13,] 0.7356356660 -0.1182467785 -0.538078442 0.115259335 -0.8498243779
## [14,] -0.3303380494 -0.4144204301 0.078712304 0.509575391 -0.1786395470
## [15,] 0.8668959754 0.1542886143 -0.441232526 1.201097550 -0.7763798784
## [16,] -1.0582597188 -0.7242179155 1.600738198 0.810017235 0.0978269150
## [17,] -0.5049244711 1.7816022095 -0.061502145 0.001210227 -0.9101287848
## [18,] 0.1840838476 -0.0442652608 -0.003095435 -0.819714203 0.2257921571
## [19,] 0.4184360878 1.5182832851 -0.362960279 0.678886989 -0.0700320345
## [20,] -0.1026575213 0.1029842000 0.139143879 -1.173656688 0.0186207447
## [21,] -1.1480175988 -0.8296570774 0.839375250 -0.234943802 -0.0825857254
## [22,] 1.3263081293 -0.4222197926 0.444424752 1.718445639 -0.4170879515
## [23,] -3.4638911787 -2.6363622952 2.172674109 1.263816491 0.8334590948
## [24,] -0.0004180954 -0.1158383494 -0.076506354 0.541266927 -0.3670905070
## [25,] -0.2750442777 0.9287661421 -0.325823814 0.423680522 -0.5182746874
## [26,] 1.0816548676 0.0640144973 1.274308400 -1.764172546 0.3344585771
## [27,] -0.2832546918 1.2360719838 -0.187090224 0.315365054 -0.0554968227
## [28,] 1.3433206731 -0.8591849926 -0.936163793 -1.220062630 0.4830794498
## [29,] -1.6799924024 -0.0281633721 2.156630368 -1.020784884 -1.1447949606
## [30,] 1.0710626285 -1.3284110672 1.834728862 -0.381994526 0.6811806747
## [31,] 0.8185042829 0.1595997123 0.965113863 0.982824838 -0.1867421466
## [32,] -0.5116245789 0.2213173362 0.411993823 -0.538385421 -1.0926900877
## [33,] 1.2290071541 0.4714686091 1.461225803 -0.325889829 -0.2473663898
## [34,] -0.0646666045 2.2433620737 0.710404490 -0.950511191 -0.7809675133
## [35,] 2.4754853111 0.2893439181 0.923999043 -0.982576123 0.6579637222
## [36,] -0.1422025234 1.3713987956 1.491799348 -0.266482715 -1.0176272530
## [37,] 0.8160953361 0.5636397794 2.230793234 -1.029467745 0.4891853321
## [38,] -0.3534221454 -0.7417774978 1.638132555 -1.319142919 -1.6484147935
## [39,] -0.1721706898 0.0335387929 1.024852681 -1.148675650 -1.2064988678
## [40,] -1.1755253233 -0.3055779800 0.531840085 0.641114542 -0.3585174104
## [41,] 0.3339185093 1.5334741172 -0.742220999 0.397824082 0.6322714144
## [42,] 0.1743686979 -2.4061791305 -1.430371076 -0.412504818 -0.2390151804
## [43,] 1.0164937988 0.2833156337 -0.990443898 -0.608638156 -0.8755992881
## [44,] -0.6089020677 -1.6271801419 -0.979063296 0.261435435 -0.0709340761
## [45,] -0.2960954667 -0.0609937498 -0.506122202 0.560648901 -0.3045133671
## [46,] -0.4779798997 0.7123433988 -0.252310393 -1.474850571 -0.4690179776
## [47,] -0.5681313101 1.8002197935 0.989506417 0.151660074 0.5940115661
## [48,] 0.0650024003 -1.6861801155 -0.882564748 0.225197238 -0.6288864935
## [49,] -1.3100505736 0.3797064291 -1.171015537 -1.344665437 -0.7421368508
## [50,] 1.3420468766 -0.3811321637 -0.227571574 -0.652518402 0.3433578516
## [51,] -0.8400332772 -1.4635314100 -1.078142846 0.099897456 -0.1895171928
## [52,] -0.8236403909 1.1294305256 0.840477295 0.190213575 -0.6073655522
## [53,] -0.7293181061 -2.1049759827 -1.159698724 1.358785707 -0.9020524475
## [54,] -2.3456226474 -1.5198752771 0.052128540 -0.129470207 -0.1026399486
## [55,] -0.8361005036 -0.9337361769 -0.234221327 1.426062323 1.7765311821
## [56,] 0.6763606802 0.0390138240 2.563417845 0.722616967 -0.3790244685
## [57,] 1.6946080427 0.0698616819 -0.534759032 0.043136450 1.5033693120
## [58,] -0.3582806110 1.6811886957 0.042283265 -1.182450667 0.7849571961
## [59,] -1.3495183401 -2.2578695319 1.090262317 -2.250237313 1.0030432414
## [60,] 0.2690629341 1.1554971565 -1.160881822 0.832217716 1.6653117813
## [61,] -0.7234518984 -0.6127871702 -0.742339680 -0.649836684 0.8693699595
## [62,] 2.7376481997 0.5069278238 1.443017228 1.237888114 0.4514609616
## [63,] 1.4658335990 -0.9257069648 -0.898460096 1.182587630 0.7225827545
## [64,] -0.3455726719 0.3440809009 0.421923404 -0.198799051 -1.7624832578
## [65,] 1.0291862289 0.3015066007 -0.973691647 0.197857462 1.1499283042
## [66,] -0.8641232698 -0.0765569415 -0.652176582 -0.405376799 -0.8177445459
## [67,] -0.8224879637 0.4260268121 1.467835590 0.414959404 0.5598897961
## [68,] 1.4683182389 -0.1736121977 0.029019490 -0.125692739 -1.4472406140
## [69,] -1.1647333718 1.0018628504 -2.021014782 0.026036013 0.7065863902
## [70,] 0.7122713714 0.4831732842 -0.770951147 0.048311261 -1.3917275625
## [71,] 0.2163691129 0.2332136225 -1.264055897 0.342708666 0.8105451156
## [72,] 0.8927285143 -0.0892148898 -0.031393992 0.512702951 -1.4173886846
## [73,] -0.1471944405 0.8343504360 0.160820099 -0.725256307 0.0941240714
## [74,] -1.2948417212 -0.0557786798 -0.137358569 -0.634600071 -0.5015041758
## [75,] -0.0085485247 -0.0638697694 -0.138921766 0.508917015 -0.3690218531
## [76,] 0.8865859209 -0.8394523284 0.524187877 1.924133725 -1.0392422670
## [77,] -0.9823598934 1.2710772242 -0.440050417 -0.551349005 0.2165906641
## [78,] -0.3369973922 -0.5403419775 0.209784606 0.463483093 -0.1534376132
## [79,] 0.0259121267 0.4476842656 -0.627700825 -0.986909443 0.2319467291
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## [279,] -0.7519674960 1.2586366080 -1.278552065 -1.119937175 -0.5003505269
## [280,] 0.5227459304 -1.1517873688 0.828307407 1.701901555 0.0377575323
## [281,] -1.2891964728 0.7268513687 -0.413380030 0.633575030 -0.5561705670
## [282,] 0.0072723101 0.1177275082 -0.650013848 0.271424375 0.5749921706
## [283,] 1.3745317270 -1.0682943337 1.842989199 -0.939231198 1.3300725948
## [284,] 0.3001583816 -0.6476922795 1.653718382 -1.711975445 0.7720718709
## [285,] 0.0608953430 -0.0522280140 -0.057624847 -0.829450762 0.2804388426
## [286,] -0.3793650617 -0.7280509615 0.123139185 0.461371200 0.5299479216
## [287,] 0.4851285995 0.5384871928 -0.034959347 -1.162760972 -0.2992416890
## [288,] 0.7206171053 -0.5881867306 0.011350392 0.249568814 -0.3876300550
## [289,] 1.2655471357 -0.6204720310 0.636573907 1.855271946 -0.3714336955
## [290,] -1.6098224177 0.6667855015 -0.514808749 0.565964376 -0.4048883452
## [291,] 0.3830414208 1.0109341013 -1.123266595 0.241569021 -0.6783633899
## [292,] -0.6782178362 1.3000455823 0.767054107 0.198642605 -0.6140196286
## [293,] 1.6844910775 -0.0002079914 0.603823492 -1.555022296 -1.0310973402
## [294,] -1.1399821131 0.5706408517 0.225131480 1.006080236 1.1212419211
## [295,] 1.2939157922 -1.0000212360 -0.805579220 -1.173390048 0.5219335656
## [296,] -1.5209166720 0.1111558629 2.082635517 -1.083053578 -1.2292044177
## [297,] 1.7354934370 -0.5086166346 1.274213378 -0.507815962 0.2828894521
## [298,] -1.7703871607 -1.0686169716 0.945636813 1.981196497 -0.0611704156
## [299,] 0.6019869525 -0.0363752051 0.421560655 -0.836265536 -0.6174102949
## [300,] 0.4477745716 0.6016858070 -1.070264315 0.420841396 0.3475341540
## [301,] -1.7409282983 0.6768220842 0.003313970 0.460084373 -0.4587245723
## [302,] 1.0154864475 -0.0985800207 -0.643518629 -0.004429237 1.5584108132
## [303,] 0.4923718799 -0.3707895537 0.066845323 0.432132091 -1.1977180848
## [304,] -0.8242134745 -0.2005517233 1.866263998 -0.162230166 1.2491918924
## [305,] -0.5806708637 -1.0993056715 -0.071064434 -0.836025698 0.2882833788
## [306,] -0.5943934264 0.1107253930 -0.653395882 0.019173765 -0.1081640853
## [307,] 0.5500102538 -0.6588696646 0.287068731 1.294093947 -0.5254052273
## [308,] 0.4272639574 1.5292324864 -0.687199135 0.451762489 0.5889517563
## [309,] 0.5268382605 -2.2511204799 -1.404420153 -0.130277486 -0.4341384337
## PC11 PC12 PC13 PC14 PC15
## [1,] 0.420523565 0.4334820544 0.016896184 0.568431041 0.4383575733
## [2,] 0.462308125 0.3986804449 -0.218844308 0.061830934 -2.0687208915
## [3,] -1.315721292 -0.6118901582 -1.234182675 0.374500028 0.7773050725
## [4,] -0.036031283 -0.2638657935 -0.338447239 0.010300783 0.5421504516
## [5,] -0.912182701 -0.4352120930 -1.415924824 0.029107293 0.2282780957
## [6,] 0.006675664 1.2983623838 -0.206751142 -0.234096001 -0.6232337130
## [7,] -0.681612182 -0.4367979407 0.627895778 -0.126860747 0.5778337358
## [8,] 1.570297126 -0.3494589711 -0.224076737 0.307935702 -0.1791024816
## [9,] 0.588029356 1.3889527245 0.379929206 0.698899496 0.2331253689
## [10,] 0.013843135 -0.3935900740 0.183078896 -0.531951622 -0.0795574606
## [11,] -0.393455043 -0.8581065623 0.256269265 -0.857916040 0.0129291768
## [12,] 0.012211427 0.7468853985 0.391100484 0.158685593 -0.2626260427
## [13,] 0.249502857 0.0929055090 -0.044637030 0.616334219 -0.0808919597
## [14,] 0.108202924 0.0621200579 -0.074766804 -0.009759719 0.1656639689
## [15,] -0.894184802 0.6667391909 -0.134044309 0.395128230 -0.5965953711
## [16,] 0.908454725 -0.2179462237 0.185976081 -0.004498742 -0.4711337983
## [17,] -0.992433913 -0.7479697500 -0.485089739 -0.584556336 -0.1028938720
## [18,] -0.796874258 -0.9948424816 0.538850685 -0.867448372 0.4749865902
## [19,] -0.844001807 -0.4463708756 1.628548810 -0.604924292 0.2536040792
## [20,] 0.320441162 0.1598941284 -0.096108696 0.385799068 -0.0495534724
## [21,] 0.467789803 -1.2219438435 0.249408139 -0.731181079 0.4061416274
## [22,] 0.411759401 -0.2953011717 -1.528031755 0.251766287 -0.3967280920
## [23,] 0.951863976 -0.0769681900 -0.219517073 0.120893372 -0.3421600285
## [24,] 0.095539826 0.0651550583 0.029651045 -0.012197733 0.1471579650
## [25,] -0.734840381 -0.7561054781 -0.278001541 -1.273542765 0.0662511665
## [26,] 0.494253801 0.0829017276 -0.087042222 0.335995178 0.6686192208
## [27,] 1.219675724 0.3473208400 -0.118633159 1.409979591 1.0286389588
## [28,] -1.041488146 -0.2161509584 -0.829347522 -0.448322267 -0.2646588750
## [29,] -0.837946225 0.2926483701 0.133017998 1.000956763 0.8888048793
## [30,] 0.404992386 0.1465291483 0.689510060 -0.526647777 0.4152453066
## [31,] -0.863377283 0.8313440043 0.490013777 1.143399608 -0.8880189012
## [32,] 1.135636716 -0.4148927197 -1.304990553 0.638676216 0.2022641052
## [33,] 0.828808911 -0.6314252501 -0.319879928 -0.179981187 -0.9960511402
## [34,] -1.045951865 0.0668733975 -0.398041733 0.851525389 -0.2799188786
## [35,] 0.009148572 0.9825179146 -0.693330830 0.687387035 -0.9228988259
## [36,] 0.003684991 -0.4452323697 0.131529168 0.435770915 -0.5539587221
## [37,] -1.864892347 -0.2768934238 -1.318510710 -1.321186730 -0.2473171349
## [38,] -0.021480573 -0.3037972350 -0.919328509 1.015139336 -1.1288114460
## [39,] -1.480099028 0.0080071951 -0.864049795 -0.975689884 -0.4962413909
## [40,] -1.149182018 0.1416856598 -0.300607468 -0.552503014 -0.3531137163
## [41,] 0.806124346 -0.1179494334 0.638998799 0.611840391 0.4739033034
## [42,] 2.023023934 -0.1990796775 -0.721549002 -0.445591628 -0.3057797375
## [43,] 0.118601406 1.1488752332 1.127125769 -0.819164504 2.0210436648
## [44,] 0.370000163 -0.3286131012 -0.391529217 -0.756123983 0.9131450099
## [45,] -1.614973464 -1.2134306509 1.337189896 0.479254455 -0.7940825244
## [46,] -0.822660699 -0.5381476425 1.351054267 -0.871938739 0.2867008044
## [47,] -0.825820015 -1.4698517789 -1.565778171 -0.912485003 -1.6294596013
## [48,] -1.665852215 0.3708029720 0.525802391 0.726885898 0.2313883640
## [49,] 1.008512627 -0.1394632519 -0.443699967 0.933724085 1.2044084929
## [50,] 0.400890266 -0.8467778863 1.276292343 -0.515240987 0.6590492803
## [51,] -0.203704842 0.7304241801 -0.305652649 0.014290211 1.4018728347
## [52,] 1.318968269 1.2676593358 -0.089367897 -2.200932157 -0.0105380974
## [53,] -0.471740318 0.0747768687 0.312992783 1.462436004 -0.3283840429
## [54,] -0.248509625 -0.7626119578 1.151848027 0.102037854 -1.1656168492
## [55,] 0.059631997 -0.3422837836 0.631467132 -0.430910715 0.7213219035
## [56,] 1.187959690 -0.3529930654 0.325920926 -0.635921694 -0.3963700610
## [57,] -1.516700646 -0.5463492685 -0.689798999 0.290699987 0.6539578856
## [58,] 0.063045575 -1.5632941214 -0.689317295 0.965257941 -1.1668081449
## [59,] -0.585555242 0.3180404088 -0.613800091 -1.021079901 -0.7911169580
## [60,] 0.168377749 -0.6514696533 0.427877290 -0.691209791 1.1214395016
## [61,] -0.303937921 0.2195102429 -0.177772012 -0.966847954 -0.4534468747
## [62,] -0.370589642 0.1881359754 -0.404935737 0.616217247 0.3213906647
## [63,] 0.562045314 0.6087100581 0.546564854 -1.127522933 0.0423631652
## [64,] 1.562104579 0.1679151372 -0.759164794 0.914358164 0.4221507490
## [65,] -0.307419099 0.5669386920 0.323913746 -0.248765411 0.2401093667
## [66,] -1.800555798 1.2416865299 0.546191663 0.025603755 -0.4886964204
## [67,] -0.780803530 0.9680464791 -1.154511320 -0.234018960 0.2106001542
## [68,] 0.243501794 -0.7449588229 0.901164989 -0.639258371 0.2572572643
## [69,] 0.318511999 0.9865425504 -0.724604727 1.167513640 -0.3950871256
## [70,] -0.155695975 -0.3662381423 -0.090378760 -0.082046491 -0.1027064113
## [71,] 0.395563837 -0.6353653669 -1.046143203 -0.395446609 0.4200325778
## [72,] -0.132154535 -0.2768798130 0.554030785 0.187167051 -0.2955056307
## [73,] 0.118025861 0.2219809439 0.236114510 -0.198690863 0.0834334297
## [74,] -0.140563287 0.1228052652 0.164854143 0.040425323 -0.2375809416
## [75,] 0.089152229 0.0810432184 0.008917707 -0.013010484 0.1426505796
## [76,] 0.252996727 -0.3221551566 -0.043456885 -0.401261618 -0.4983860014
## [77,] -0.193686281 0.1925570034 -1.200835531 0.027174662 0.0545096490
## [78,] 0.225428911 -0.5317507356 -0.751995565 -0.518521957 0.6561825798
## [79,] -1.038563904 0.1303494327 1.505910954 -0.006619541 -0.3864339587
## [80,] -0.999779797 -0.4491545309 -0.203159284 0.890661824 -0.0687494212
## [81,] 0.736805720 0.0931148821 -0.548849539 0.929741566 0.1710456599
## [82,] 0.331212303 -0.6604685218 0.483127310 -0.383953382 0.0299625586
## [83,] -0.494038249 -0.1809526966 -0.693029162 -0.321202640 1.2130307510
## [84,] -0.247720716 -1.9830952857 -0.064812692 0.673317030 0.2488693728
## [85,] 0.293303760 -0.2526473413 0.760814035 0.442096802 -0.2483130580
## [86,] 0.854198843 -1.0578870797 0.246599297 0.268291758 0.0528875299
## [87,] 0.019427201 -0.7472741460 -0.315263937 -0.339431116 0.8530010449
## [88,] 0.515099491 2.2369077013 -0.708746469 -0.099849514 -0.4085056983
## [89,] 0.396677405 1.0281156094 1.251735506 0.365048538 0.6113069945
## [90,] -0.196958743 0.1727445012 -0.175979624 0.251242033 0.3075061692
## [91,] -0.908803697 -0.4641643806 -1.195676014 1.524708105 0.6341433167
## [92,] -0.459819133 0.2415520696 -0.701715520 0.943060828 -0.4390341268
## [93,] 0.577211676 0.8769549835 0.467237575 -0.293414270 -0.7410211870
## [94,] 0.376024108 -0.5759689750 0.918623238 1.180562016 -0.2256674920
## [95,] 0.376550480 -1.1251383134 0.986458836 0.529105777 -1.1761631521
## [96,] 0.256931250 1.0610395622 -0.053629478 0.064945845 -0.5656595143
## [97,] -0.478982591 -0.4067158254 -0.469145662 1.271401627 1.3387050869
## [98,] -0.564062512 -3.0245294479 0.224081729 -0.554508893 0.2526254534
## [99,] 1.600824809 -0.1890302916 -0.476698915 -0.651020429 -1.1351435908
## [100,] 0.031125975 0.5189074993 0.558725281 0.430966100 -0.2377379712
## [101,] 0.197998438 0.0167154008 0.111369110 -0.132114611 -0.7366617528
## [102,] -0.232379694 0.3170869111 -1.303548212 0.056202797 0.0039380143
## [103,] 0.097994130 -0.0417656755 -0.142942833 -0.152476705 0.2511952063
## [104,] -0.978807594 -0.0232077362 1.024213559 -0.137775845 -0.2087744303
## [105,] -1.037444131 -0.2112538879 0.033504034 1.106887063 -0.2613662304
## [106,] 0.297656183 0.2983409313 0.139191347 0.529135533 -0.1804720323
## [107,] 0.267943255 -0.4792219363 0.621133158 -0.299252011 -0.0977380566
## [108,] -0.528340518 0.1251328831 -0.768143809 -0.088742811 1.0350856613
## [109,] -0.142842041 -1.8814894234 0.895453078 1.186341067 -0.0392106502
## [110,] 1.032007126 -0.3873793935 -0.816200335 -0.424840010 0.8279075380
## [111,] 0.481548479 0.3114823182 0.292619651 0.622543704 0.4464357392
## [112,] 1.559874683 0.5833313450 0.424954703 0.585170837 0.0450815216
## [113,] -1.510634671 0.2747947549 -0.496823920 1.038737062 0.1047037030
## [114,] -0.115316858 0.2975403823 -0.012049023 0.494542530 0.1300361673
## [115,] -0.188075600 0.8888540550 1.141636781 0.988710888 0.6328114784
## [116,] 0.056360617 1.0870240618 -0.357582970 -0.380795621 -0.4688026328
## [117,] -0.731441650 -0.2534189793 0.607429918 -0.043427608 0.4755427006
## [118,] 1.575533621 -0.3750519323 -0.273590252 0.282372467 -0.1540428813
## [119,] 0.002893875 -0.6734814665 -0.163531606 -0.087412681 0.0663117691
## [120,] 0.446413642 -0.1277354242 -0.996326871 1.533737482 0.9768585655
## [121,] 0.267340266 -0.5660987518 -0.007395508 -1.279686466 -0.7323835988
## [122,] 0.046445956 0.7468656629 0.483713407 0.247944485 -0.2913995915
## [123,] 0.909000719 0.0897831534 1.177838651 -0.947387266 -0.3197825387
## [124,] 0.629823071 0.2879453770 1.029217109 -0.552474310 1.3399238865
## [125,] -0.794056705 0.3317744877 0.355197311 1.018422844 -0.9907731226
## [126,] 0.622477115 -0.5249701939 -0.121688716 -0.490384411 0.5245018888
## [127,] -0.751432612 0.0410632906 0.737055324 0.247121500 0.2607815840
## [128,] -0.909917129 -0.3612919060 1.024192187 -0.346690172 -0.0056423842
## [129,] 0.154926058 -1.4391681156 0.274585841 0.185280098 -0.0479047276
## [130,] 0.270625145 0.3443025149 0.360694788 0.564730189 -0.2459314922
## [131,] 0.748888428 -0.7342885254 0.021271498 0.153580439 0.2566140136
## [132,] 0.292263416 0.4171591028 -0.584429409 0.931877149 -1.0174449090
## [133,] 0.632725753 0.7066884287 0.401761592 0.397497447 -0.8849132904
## [134,] 0.082412656 -0.1684765550 -0.870702276 -0.460534180 0.4826390917
## [135,] -0.499571994 0.8084684685 0.725699554 -0.085896325 -0.8420581965
## [136,] 1.781096755 -0.8817805695 0.475251084 0.458090033 0.1610472198
## [137,] 0.486212420 1.2972806649 -1.259504124 0.426123376 0.9838162454
## [138,] -1.052839007 -0.1033355495 -0.698800981 -0.328668481 -0.3616124824
## [139,] -0.827117215 0.0825104158 0.688979321 0.914761849 0.9162253019
## [140,] 0.311282220 0.4158344275 1.270788526 -0.325763084 0.1517838075
## [141,] -0.612991740 -0.2019474897 0.355503758 -1.244776480 -0.2495189658
## [142,] -0.114333649 -0.0227009135 0.406267180 -0.010405241 1.2048803881
## [143,] 1.878384008 -0.2393013201 -0.157397029 -0.808686716 -0.9757275257
## [144,] -0.607143298 0.1189496401 -0.477891520 -0.166257131 -0.2144755379
## [145,] 0.739290331 0.2381621476 -0.765082706 0.684180982 -0.0171179900
## [146,] -0.145260843 -0.1348441116 0.432561804 0.283733600 -0.3620050869
## [147,] -0.086011284 0.5618417957 0.276456518 -0.770593330 0.3672118599
## [148,] 0.160227162 -2.1881068236 0.902234343 1.106876115 -0.0786894943
## [149,] 0.031317302 0.1911905163 0.005616693 -0.018958445 0.0881407007
## [150,] -0.726166472 -0.0431326938 -0.531473520 -0.073684909 -0.0995940026
## [151,] 0.789761746 -0.0174189036 0.847593039 0.723763015 0.3713978512
## [152,] 2.037954543 -0.2982559638 -0.565114272 -0.486874526 -0.2751620212
## [153,] 0.128639109 1.2161735687 0.908866917 -0.771517783 2.0159239490
## [154,] -1.533056562 -0.7886853127 -1.578448855 -1.027067669 -0.1558162169
## [155,] -1.799206424 0.3517339788 1.006613812 -0.511938750 -0.6690267496
## [156,] -1.745772166 0.6357702258 -0.328529303 -1.535686219 -0.0084052138
## [157,] -1.727595126 0.2096404580 -0.379922081 -1.631281664 -0.3556658255
## [158,] -2.376585351 0.8935729172 -0.498587445 0.560593037 -0.1535818719
## [159,] 1.005679461 0.1691497143 0.301254883 1.396244152 0.8544999510
## [160,] 0.358603585 -0.7299125978 0.855931458 -0.564462146 0.6768503139
## [161,] -0.118277128 0.3147405380 -0.961954969 -0.370877751 1.7798329478
## [162,] 1.322369895 1.3216155305 -0.328367399 -2.185022759 -0.0006690793
## [163,] -0.490946417 -0.2477650604 -0.394734903 0.947105811 0.0303566101
## [164,] -0.323505427 -0.7698571887 0.749456412 -0.140540080 -1.0586996402
## [165,] -0.024775395 -0.2833212994 0.373770439 -0.595502381 0.7588735967
## [166,] 1.096750958 -0.0400292467 0.109174495 -0.542275847 -0.5334434028
## [167,] -1.665107558 0.3814373406 -0.019691055 1.080792101 -0.0472712677
## [168,] 0.121517841 -1.6336033878 -0.593843975 1.032200983 -1.1569982511
## [169,] -0.549889731 0.1712785672 -0.611523409 -1.099377267 -0.7051790987
## [170,] 0.173090442 -0.3460925249 0.765095255 -0.297061213 0.8511220659
## [171,] -0.322702786 0.6536319167 0.791574771 -0.362402839 -0.9256792672
## [172,] -0.393904330 0.4091380943 -0.259342542 0.826594309 0.1533518369
## [173,] 0.637843045 0.5151152191 0.641350658 -1.049027385 0.0623796356
## [174,] 1.556299335 0.2068648506 -0.920435851 0.910946304 0.4296449544
## [175,] -0.362008509 0.8741466793 0.951553236 0.081808646 -0.0697876936
## [176,] -1.710189519 1.0325347910 0.412329823 -0.031140234 -0.3517095595
## [177,] -0.909995025 1.4121049162 -1.210938149 -0.051017509 -0.0331009714
## [178,] 0.239525689 -0.6413809846 0.822266920 -0.555354028 0.2051302279
## [179,] 0.545524019 0.0655601494 -1.438160622 0.538839358 0.2856419443
## [180,] -0.124850377 -0.3876590948 -0.089921253 -0.040303164 -0.0981735864
## [181,] 0.403768501 -0.5956669180 -0.734455947 -0.275493242 0.3301105084
## [182,] -0.132930313 -0.3766394866 -0.187203238 -0.064829097 -0.0839396096
## [183,] 0.016270698 0.7615497571 0.333919451 0.171045051 -0.2624416848
## [184,] -0.224043337 0.2646391701 0.570084353 0.095086855 -0.3850995679
## [185,] 0.147757152 -0.4780702868 -0.895359681 -0.652032973 0.6727709000
## [186,] 0.193616175 -0.4240181500 -0.498121267 -0.720241421 -0.3232495839
## [187,] -0.034761097 1.1457298699 0.586766276 -0.625570708 0.6892305938
## [188,] 0.504482451 0.5496962695 0.060856072 -0.847121852 -0.7707882356
## [189,] -0.650616269 -0.1605567900 0.414551028 -2.110531901 -0.1496008604
## [190,] -0.182798626 1.6411241358 1.044213913 0.110493834 0.2288751125
## [191,] 0.095969948 0.8016115611 0.042308039 0.010436164 -0.1049633741
## [192,] -0.366156628 0.7496332500 0.768361136 -1.091461924 0.7148505058
## [193,] -0.946409204 -0.3152183738 0.150414025 -1.053778779 0.7113997225
## [194,] -0.855672835 -0.9830093268 -0.905832846 -0.409623569 0.1492982261
## [195,] 0.325176088 -0.6070675912 0.367549686 0.061677189 0.0541561124
## [196,] 0.794881574 -0.8748651352 -0.084748319 0.270197773 0.0146265993
## [197,] -0.066920247 -0.1862714119 0.098864439 0.147105215 0.4261859754
## [198,] 0.570324710 2.0238937521 -1.044359363 -0.273356272 -0.2185264856
## [199,] 0.425186441 0.6429611071 0.491994328 -0.126800674 1.0069575413
## [200,] -0.309246961 0.7596944788 0.686920137 0.799763529 -0.2162877586
## [201,] -0.926207624 -0.3478009217 -1.355300510 1.578113090 0.5935029616
## [202,] -0.435040531 0.4237204416 -0.745279545 1.175313970 -0.5592385296
## [203,] 0.452443320 1.0957245385 0.142243809 -0.388730863 -0.7838865288
## [204,] 0.419772768 -0.9714967884 0.485821261 0.774175656 0.1081471239
## [205,] 0.175739436 -0.6851285663 0.715121492 0.516934869 -1.3528110796
## [206,] 0.353103360 0.5024938497 -0.823726838 -0.469077034 -0.0738754850
## [207,] -0.616674826 0.1076888698 0.048842036 1.623576983 0.9385118280
## [208,] -0.932014894 -2.3782729327 -0.056710547 -0.746252808 -1.0047732584
## [209,] 1.560076315 -0.0806846266 -0.101208215 -0.548504487 -1.2679059152
## [210,] 0.177987430 -0.3405525381 0.069584376 -0.255456285 0.3831698686
## [211,] 0.290925203 -0.4797676870 0.097365997 -0.458753115 -0.4330577300
## [212,] -0.197654486 0.2195844532 -1.364133168 0.014767142 0.0697480723
## [213,] 0.033115596 0.4977976943 0.277185030 0.357443913 -0.1692388424
## [214,] -0.986944360 -0.0632916842 1.195268464 -0.162507838 -0.2130873890
## [215,] -0.885201565 -0.8401300969 -0.235047500 0.715123819 0.1615237371
## [216,] 0.348346118 -0.0255630837 -0.265224647 0.217261282 0.0980469217
## [217,] 0.219225392 -0.3749311471 0.813013327 -0.253789639 -0.1893930475
## [218,] -0.580699335 0.4949571942 -0.222702935 0.295336073 0.6989844827
## [219,] -0.324346284 -1.3337935698 0.998841732 1.400331616 -0.3667381814
## [220,] 0.292793239 -0.5584445302 0.117974067 -0.004227517 0.0807831232
## [221,] 1.022770651 0.1527312235 -0.371180305 1.281589722 0.9916750779
## [222,] 0.465861696 -1.1847956071 0.607637361 -0.864458757 0.9942057110
## [223,] -0.424516730 1.4748814174 0.145181171 0.420214420 0.8878891898
## [224,] 1.236438417 1.7300181032 0.383479681 -1.797487236 -0.3845053731
## [225,] -0.426387323 -0.2842011807 -0.688413707 0.984933178 0.0919241125
## [226,] -0.263850500 -0.9207747960 0.901682146 -0.143776831 -1.0068171990
## [227,] -0.162814971 0.5436072760 1.690537431 0.239060114 -0.0051335613
## [228,] 1.026434521 0.1900517074 0.077777001 -0.454886610 -0.6582377293
## [229,] -1.572773111 -0.0312910426 -0.288500239 0.789657126 0.2507442514
## [230,] 0.036653223 -1.0775967170 0.277635073 1.607073041 -1.6704573397
## [231,] -0.760711421 0.5801334609 -0.853926932 -1.158985637 -0.8636755088
## [232,] 0.224797306 -0.8638491677 0.369310689 -0.806783880 1.2564088524
## [233,] -0.256109481 0.0813377143 0.160075683 -0.944625884 -0.4426724802
## [234,] -0.500478173 1.1402854283 0.940682998 1.603648258 -0.5339839208
## [235,] 0.420557609 1.1757651232 1.405814095 -0.660944846 -0.4584058641
## [236,] 1.601474335 0.0329770609 -0.786863332 0.850110349 0.5049464856
## [237,] -0.245442814 0.5299043586 0.123567074 -0.198453838 0.2846141257
## [238,] -1.677910380 0.9370002172 0.587961195 -0.028877664 -0.3326711026
## [239,] -0.615963168 0.4614410046 -1.373119458 -0.462593734 0.5385699125
## [240,] 0.346190183 -0.1741353115 -1.640682285 0.219620922 -0.4347494070
## [241,] -0.237700953 -1.8269571358 -1.733722502 -0.868267167 0.0739759153
## [242,] 0.189743967 -0.4365589058 -0.484810381 -0.440615878 0.5517758465
## [243,] -0.157734030 1.3944431466 -1.315420940 -1.163315747 -1.0278137201
## [244,] 1.482778302 -1.2292871843 0.735433828 -0.310230712 0.2165680484
## [245,] 0.458353115 1.2794759823 -1.481894590 0.305867734 1.0478414078
## [246,] -0.561798075 1.1599444136 -0.106549811 0.174440364 -0.5614477491
## [247,] -0.904030686 0.1899898851 0.077693633 0.746239059 0.9884091324
## [248,] 0.367306846 0.0797105468 0.421658844 -0.727251810 0.5237866907
## [249,] -0.771447964 0.3220145131 0.421694621 -1.015059403 -0.5611796464
## [250,] 0.891226655 1.8559091541 1.012247198 0.055194895 -0.9096856467
## [251,] 1.865768690 -0.2969116509 -0.060634134 -0.875628676 -0.9524645024
## [252,] -0.460426027 -0.7028922394 -1.480131889 -0.915330523 0.4818986921
## [253,] 0.383069666 0.0729546428 0.084302734 0.102023258 -0.1799652501
## [254,] -0.073701024 -0.5385788237 -0.284734897 -0.129813506 0.0242731252
## [255,] -0.316718368 1.3263872034 0.646147689 -0.380331569 -0.1411549227
## [256,] -0.020055754 -1.7066672359 1.308291456 1.314337165 -0.4218148172
## [257,] 0.099230582 0.0633414172 -0.089809685 -0.030062396 0.1705910065
## [258,] -0.814719325 0.3554712920 -0.482169057 0.167179178 -0.3464488494
## [259,] 0.827465657 -0.2784515308 0.408041681 0.443426503 0.6190726633
## [260,] 1.969911006 0.1981480175 -0.131559676 -0.025757074 -0.6685676214
## [261,] 0.120692741 1.5520772439 1.851214993 -0.252163607 1.6108503758
## [262,] 0.382435126 -0.0915046435 0.031776181 -0.399960814 0.6689254912
## [263,] -1.094660807 0.5313274642 -0.723942851 0.793217363 -0.4923627949
## [264,] 0.077558875 1.0730493255 -0.864140025 -0.451585611 -0.3669914933
## [265,] -0.792476333 -0.1982225738 0.358157169 -0.161823863 0.5066678723
## [266,] 1.553818534 -0.4152766906 -0.754771835 0.100342799 -0.0263940820
## [267,] 0.786240415 0.5920760463 -0.296554785 0.146965215 0.8331283743
## [268,] -0.077097448 -0.1064969348 0.735943782 -0.312441464 -0.3501374412
## [269,] -0.507108198 -0.1399924983 1.449425933 -0.110453136 -0.6621996038
## [270,] 0.040436218 0.8904793243 1.394424602 0.565017503 -0.5631495248
## [271,] 0.271097474 -0.1892803429 -0.938504400 0.190741482 0.2747592430
## [272,] 0.074050682 0.1269508821 -0.024944975 -0.003253330 0.1234850640
## [273,] -0.931853006 1.0078033725 0.209204840 0.739747383 -0.8785993809
## [274,] 0.836197278 0.0005452163 -0.200324353 -0.003385652 -0.5181722760
## [275,] -0.841050307 -1.1692393307 -0.517406569 -0.715403414 0.1361235206
## [276,] -0.983023515 -0.1041939949 1.271501292 -0.181852971 -0.2020560780
## [277,] -0.801581787 -0.5012883274 1.399310331 -0.619467237 0.3217333923
## [278,] 0.235167642 0.0761654172 -0.868124389 -0.030755816 0.1837052038
## [279,] 0.259645931 -0.7659212831 -0.171331327 -0.771443767 0.2503776820
## [280,] 0.386626612 0.0020122656 -1.394599751 0.535355543 -0.6125133511
## [281,] 0.802480244 -0.1790725087 -0.588888791 -0.368026445 -0.1555218514
## [282,] 0.482401592 0.8485498995 -0.439878351 0.187371367 -0.9810781952
## [283,] 0.133037414 0.6534827324 -1.212225499 0.499259150 -0.6413672907
## [284,] 0.406502194 0.7165172399 0.480778116 0.925558289 0.1639291407
## [285,] -0.857974639 -0.6741941727 0.840754566 -0.600815722 0.2219338890
## [286,] 0.038978935 -0.7220043659 0.586611893 0.752720450 -0.5492553667
## [287,] 0.400500823 -0.3586637134 -0.511835579 -0.069931664 0.3513372646
## [288,] 0.822793804 -1.1842067114 -0.215174410 -0.208041555 0.5787408975
## [289,] 0.367378840 0.0070424388 -1.070586440 0.564778180 -0.6732674459
## [290,] 0.707731574 0.3200376804 -0.202871587 0.031149299 -0.5331046573
## [291,] -0.081437579 0.6813613159 0.423020726 0.339802365 -0.2840377311
## [292,] -0.448238235 0.5883060329 0.080163844 -0.336205536 -0.5854681151
## [293,] 1.782082642 -0.8786251058 0.424369024 0.453352217 0.1686013563
## [294,] 0.262999653 2.5161366718 0.184353081 1.516995025 -0.0388854969
## [295,] -1.028991209 -0.2410878726 -0.813808730 -0.445286831 -0.2550268203
## [296,] -0.767768447 -0.1184498761 -0.336592138 0.625874697 1.2319341578
## [297,] 0.424298678 -0.1658003787 0.354749610 -0.877756151 0.6822191559
## [298,] -0.583145614 -0.3361529386 0.012495691 -1.390367906 -0.1025393108
## [299,] -0.021967799 -0.5455360842 -0.094936125 -0.461983720 1.6215068235
## [300,] 1.938133198 -0.6013023488 -0.357609883 -1.101025575 -0.7146842916
## [301,] -0.568533563 -0.1138279703 -0.613242911 -0.355154778 -0.0453825308
## [302,] 0.737361526 0.1736037657 -0.361233504 0.692900730 -0.0526630204
## [303,] -0.126718864 -0.2544281997 0.408186660 0.192943852 -0.2835720653
## [304,] -0.061479981 0.4313114021 0.099934079 -0.890448988 0.4808252877
## [305,] 0.093734175 -1.8826517649 1.632717238 1.431294242 -0.4038404559
## [306,] 0.087368328 -0.0350587299 -0.772962725 -0.292136488 0.3733408245
## [307,] -0.674268055 -0.2830235204 -1.093907597 -0.326910311 0.1536629841
## [308,] 0.814679485 -0.1524666351 0.681117266 0.601996141 0.4859256479
## [309,] 1.875453301 0.5883067607 0.490080068 0.307284192 -1.0199760971
## PC16 PC17
## [1,] -0.204699168 0.399778790
## [2,] 0.045288943 0.292915024
## [3,] -0.271595154 -0.814045516
## [4,] -0.371673537 1.078203419
## [5,] 0.734034423 0.516096799
## [6,] 0.370839736 0.464690533
## [7,] -0.322143489 0.050306784
## [8,] 0.531051672 0.194644777
## [9,] -1.124665269 -0.473960208
## [10,] 0.076492553 0.033336741
## [11,] -0.534141622 -0.128982341
## [12,] 0.084037407 -0.456830857
## [13,] 0.189629446 0.456895464
## [14,] -0.016716439 -0.021511422
## [15,] 0.006422442 -0.329564249
## [16,] -0.225723824 -0.788232416
## [17,] 0.487690414 -0.355745563
## [18,] -0.216253994 0.281111017
## [19,] -0.357368372 -0.574817902
## [20,] -0.121585264 0.153361961
## [21,] -0.325279346 0.341539699
## [22,] -0.249217026 -0.517074387
## [23,] -0.474336582 0.001382573
## [24,] 0.020601136 -0.029383874
## [25,] -0.421748563 -0.176386698
## [26,] -0.375057468 0.459319241
## [27,] 0.157050749 1.283191589
## [28,] 0.172160415 -1.177121386
## [29,] 0.840632915 0.308201578
## [30,] 0.546906491 0.990041317
## [31,] 1.833637726 0.602301402
## [32,] 0.899009190 -0.685671003
## [33,] 0.778795299 0.192681525
## [34,] 0.282663097 0.192190653
## [35,] -0.281726780 -0.102251797
## [36,] 0.404702630 0.315448071
## [37,] 0.252701007 -0.080408534
## [38,] 0.835870432 -0.173405499
## [39,] 0.794453324 -0.901139864
## [40,] -0.664108490 -0.302257112
## [41,] -0.699334673 -0.772619337
## [42,] 0.302214498 0.526431365
## [43,] 0.215644055 0.008363015
## [44,] 1.218170500 -0.374050417
## [45,] -0.107189826 1.558186080
## [46,] -0.014697978 -0.110994738
## [47,] -0.314501834 1.085094010
## [48,] -0.453323188 1.568209576
## [49,] 0.371135730 -0.880906339
## [50,] 0.038378647 -1.504845090
## [51,] -0.190277899 -0.215343711
## [52,] 0.571180847 -0.485102183
## [53,] -0.795216391 0.307609636
## [54,] 0.101171607 -0.457206584
## [55,] -0.836682394 1.227393045
## [56,] -0.761838666 0.044936466
## [57,] -0.093377912 0.519556971
## [58,] -0.085545972 0.334201010
## [59,] 0.820792154 0.214839663
## [60,] 0.108966172 -0.162975362
## [61,] -0.542958636 1.037635542
## [62,] -1.090814185 -0.173869707
## [63,] 0.397950756 0.601928262
## [64,] -0.286457614 -0.316048608
## [65,] 1.423427877 0.100505316
## [66,] -1.311470262 -0.340525215
## [67,] -0.360979053 0.384060109
## [68,] 0.046545960 0.364930671
## [69,] 0.851869088 0.039331283
## [70,] 0.125575693 0.027204718
## [71,] 0.339668208 0.511883358
## [72,] 0.135095885 -0.227962988
## [73,] -0.161028009 -0.359990351
## [74,] -0.151488592 0.364242693
## [75,] 0.032547772 -0.019961277
## [76,] -0.125258951 -0.040086038
## [77,] -0.314385878 -0.543428311
## [78,] -0.335717440 0.228175597
## [79,] 0.400994735 -0.072763914
## [80,] -0.528254127 0.151448992
## [81,] 0.139513375 0.283297565
## [82,] -0.005952746 0.259756203
## [83,] 0.220449326 0.205910512
## [84,] 0.821389639 -0.280463409
## [85,] -0.616768168 -0.143967535
## [86,] 0.587250538 0.095098054
## [87,] -0.057818756 -0.333248457
## [88,] -0.618241629 0.030801222
## [89,] 0.262114853 0.284029297
## [90,] -0.441595058 0.570186068
## [91,] 0.546853402 0.247395413
## [92,] -0.954452414 -0.237225566
## [93,] -0.690367526 0.648356547
## [94,] 1.196418062 -0.755162981
## [95,] -1.025634831 0.626103061
## [96,] -0.491732734 -0.231372581
## [97,] 0.162249355 0.180426095
## [98,] 0.601243917 -0.104024116
## [99,] -1.217306954 -0.042251874
## [100,] 0.210795257 -0.266528766
## [101,] 0.009178791 -0.140306083
## [102,] -0.239832184 -0.505299089
## [103,] -0.001081145 0.061331010
## [104,] 0.225753874 0.024185581
## [105,] -0.423907862 0.044826848
## [106,] -0.049813183 0.066391359
## [107,] 0.144666199 0.249381777
## [108,] 0.288291683 0.147150980
## [109,] 0.683932546 -0.766405649
## [110,] -0.165238363 0.413606088
## [111,] -0.311500803 0.275308649
## [112,] 0.470357058 0.841243335
## [113,] 0.222169322 -1.078565979
## [114,] -0.168079224 0.872922772
## [115,] 0.877633521 1.155793976
## [116,] 0.248481964 0.515447773
## [117,] -0.215599949 0.058770936
## [118,] 0.514993586 0.210590031
## [119,] -0.226150793 -0.086942561
## [120,] 0.289380434 0.313280968
## [121,] 0.215127207 -0.235851294
## [122,] 0.018379895 -0.540713487
## [123,] -0.445011923 -1.187395940
## [124,] -0.197477228 0.266806473
## [125,] -0.289242777 -0.037798448
## [126,] -0.565139828 -0.738008042
## [127,] -0.159623044 -0.074763111
## [128,] 0.075685920 0.058279950
## [129,] -0.639909303 0.323712286
## [130,] 0.029766279 0.032157735
## [131,] 0.251431807 0.393080370
## [132,] 0.099890861 -0.888438144
## [133,] 0.278208194 0.028194637
## [134,] -0.035768643 0.342225755
## [135,] -0.465900314 -0.053961025
## [136,] -0.579918745 -0.349760333
## [137,] 0.000772863 0.151658109
## [138,] 0.209223668 -1.243826974
## [139,] 0.869070173 0.233877079
## [140,] 0.805399365 0.872283165
## [141,] 0.341425105 0.022592252
## [142,] -0.684397168 -0.936264140
## [143,] 0.869141848 -0.006288726
## [144,] -0.404210072 -0.522821842
## [145,] 0.676296036 -0.021386986
## [146,] 0.152334617 -0.236617040
## [147,] 0.100548266 0.546407053
## [148,] -0.614292886 0.646342147
## [149,] 0.157997524 0.030636773
## [150,] -0.396764299 -0.190573406
## [151,] -0.644069677 -0.846298375
## [152,] 0.284353292 0.503158969
## [153,] 0.173424869 0.019842343
## [154,] 0.044405912 -0.388242074
## [155,] 0.824834606 0.325438074
## [156,] 0.121962865 -0.861216712
## [157,] -0.442513188 0.702610115
## [158,] 0.793495320 0.334082201
## [159,] 0.447669504 -1.216843843
## [160,] 0.090886418 -1.371108370
## [161,] -0.438017503 0.002962693
## [162,] 0.541409695 -0.450589729
## [163,] -0.820401346 0.677621810
## [164,] 0.226252313 -0.216161914
## [165,] -0.677481397 1.415588471
## [166,] -0.583691233 0.119191040
## [167,] 0.293109180 0.174793193
## [168,] -0.203669862 0.239594626
## [169,] 0.743351273 0.219123542
## [170,] 0.130802257 -0.400058587
## [171,] -0.410579567 0.611738612
## [172,] -1.026212619 -0.272878294
## [173,] 0.242101208 0.488238862
## [174,] -0.288948646 -0.279987488
## [175,] 1.601354083 -0.114113845
## [176,] -1.520591312 -0.365248874
## [177,] -0.085103098 0.421068268
## [178,] 0.047903515 0.346408715
## [179,] 0.290577969 0.257721538
## [180,] 0.058594121 -0.016260362
## [181,] 0.351179366 0.395519794
## [182,] 0.067019098 0.018984832
## [183,] 0.069867765 -0.454941763
## [184,] 0.068081891 0.334040887
## [185,] -0.180412417 0.376233283
## [186,] -0.039127144 0.230944364
## [187,] -0.461598407 -0.299418857
## [188,] -0.863571623 0.415674312
## [189,] 0.164826381 -0.745791996
## [190,] 0.055938829 -0.226902271
## [191,] -1.130935409 0.447494847
## [192,] -0.780931794 -0.127862513
## [193,] -0.218573295 -0.492468351
## [194,] -0.164408869 -0.368908455
## [195,] -0.723395579 0.067538846
## [196,] 0.685196206 0.204171257
## [197,] 0.169355098 -0.549958598
## [198,] -0.769993878 0.122808536
## [199,] 0.128325234 0.614367708
## [200,] -0.115885447 0.264880595
## [201,] 0.569809145 0.268030342
## [202,] -1.012129894 -0.350160623
## [203,] -0.449618464 0.852052206
## [204,] 1.060227957 -0.534824136
## [205,] -0.614394865 0.846168128
## [206,] -0.773683331 0.063697140
## [207,] 0.510641502 0.044842721
## [208,] 0.539028601 -0.851370448
## [209,] -1.093386790 -0.122726928
## [210,] -0.155246654 0.001096426
## [211,] -0.194613598 -0.072297240
## [212,] -0.321072705 -0.504598778
## [213,] 0.179998006 -0.184224234
## [214,] 0.259444768 0.009943970
## [215,] -0.780618138 0.139516314
## [216,] -0.198320989 0.234820841
## [217,] 0.268641865 0.234126153
## [218,] 0.453731649 -0.077289733
## [219,] 1.088579218 -0.729502626
## [220,] -0.676442863 0.168806418
## [221,] 0.347355852 -1.056801166
## [222,] -0.165990170 -1.283069689
## [223,] 0.332638512 -0.293672149
## [224,] 0.795452124 -0.679781217
## [225,] -0.988260241 0.662611902
## [226,] 0.110787399 -0.291810588
## [227,] -0.252893278 0.923464117
## [228,] -0.433616613 0.144755671
## [229,] 0.066773967 0.275017663
## [230,] 0.063241523 -0.101200129
## [231,] 1.179012497 0.462607684
## [232,] -0.019352945 -0.148293626
## [233,] -0.615282088 0.926318797
## [234,] -0.681058673 -0.744278153
## [235,] 0.786713435 0.356755296
## [236,] -0.374744887 -0.315348333
## [237,] 1.269945960 0.064941224
## [238,] -1.574325649 -0.425168932
## [239,] -0.740202720 0.388446323
## [240,] -0.117226699 -0.428558305
## [241,] 0.955826543 -0.268608022
## [242,] -0.232986784 0.174246513
## [243,] -0.030911579 -0.178010067
## [244,] -1.116037385 -0.443587411
## [245,] 0.040368748 0.267750892
## [246,] 1.404264474 -1.478292614
## [247,] 0.978839680 0.483021714
## [248,] 0.603511293 1.157426119
## [249,] 0.692486224 0.040663628
## [250,] -0.722358199 -0.980492359
## [251,] 0.905558470 0.015177064
## [252,] -0.818092266 -0.133033980
## [253,] 0.321527445 -0.257408901
## [254,] -0.070998352 0.016638914
## [255,] 0.637360258 0.497985009
## [256,] -0.183950774 0.629102932
## [257,] 0.001359994 -0.002573657
## [258,] -0.199281757 -0.231513525
## [259,] -0.767591488 -0.674397629
## [260,] 0.473512663 0.278870895
## [261,] 0.279643315 -0.373044027
## [262,] 1.231233143 -0.616917441
## [263,] 1.196629303 0.206480172
## [264,] 0.154833871 0.622433628
## [265,] -0.106378218 0.206223917
## [266,] 0.516903811 0.396282048
## [267,] -1.619758037 -0.272082445
## [268,] 0.326323508 -0.089511243
## [269,] -0.174273385 -0.580481396
## [270,] 0.117172450 -0.841650045
## [271,] 0.058390380 0.788983893
## [272,] 0.062226434 -0.005549539
## [273,] 0.120922819 -0.511551264
## [274,] -0.104788706 -0.658045736
## [275,] 0.155305470 -0.417142635
## [276,] 0.258037515 0.001018338
## [277,] -0.471111047 -0.560894424
## [278,] -0.009003091 0.546602298
## [279,] 0.087872999 0.607421705
## [280,] -0.181710770 -0.644080424
## [281,] -0.184704565 0.404085944
## [282,] 0.381975583 -0.300021491
## [283,] -0.599984450 -0.026298504
## [284,] -0.130302106 0.170677295
## [285,] -0.054769022 0.159784347
## [286,] -0.357835410 0.115076387
## [287,] -0.335197519 0.362168104
## [288,] 0.068117172 0.532982330
## [289,] -0.109459288 -0.700975579
## [290,] 0.057996353 0.237331002
## [291,] 0.442745185 -0.109642684
## [292,] -0.638324403 0.131842402
## [293,] -0.586836031 -0.339105240
## [294,] 0.622801658 -0.405256743
## [295,] 0.146444590 -1.191554915
## [296,] 0.643560584 0.500112321
## [297,] 0.473122824 1.188323428
## [298,] 0.244203227 0.124670211
## [299,] -0.932773979 -0.723538859
## [300,] 0.720091571 0.108483530
## [301,] -0.501085666 -0.447556210
## [302,] 0.718340959 -0.098268391
## [303,] 0.109617474 -0.207952469
## [304,] 0.030515055 0.610897882
## [305,] -0.400852865 0.425130764
## [306,] -0.037178820 0.247090067
## [307,] -0.562633443 -0.019336438
## [308,] -0.714004235 -0.783153726
## [309,] 0.737576367 0.096973111
plot(cancer_pca$x,xlim=xlim,ylim=xlim)
cancer_pca$rotation[,1]
## GENDER AGE SMOKING
## 0.3210475112 -0.0364649541 0.0430283442
## YELLOW_FINGERS ANXIETY PEER_PRESSURE
## 0.3814759828 0.4033326977 0.3069045925
## CHRONIC DISEASE FATIGUE ALLERGY
## 0.0902654180 -0.1024499601 -0.2493507498
## WHEEZING ALCOHOL_CONSUMING COUGHING
## -0.2442608884 -0.3321543572 -0.2792205789
## SHORTNESS OF BREATH SWALLOWING DIFFICULTY CHEST PAIN
## -0.1417347885 0.2925413504 -0.2335726303
## WEIGHT HEIGHT_INCH
## -0.0003161562 0.0485449546
cancer_pca$rotation
## PC1 PC2 PC3 PC4
## GENDER 0.3210475112 -0.286879473 0.17379787 -0.07237418
## AGE -0.0364649541 0.030795541 0.04688999 0.27943243
## SMOKING 0.0430283442 -0.003424731 -0.31567559 0.10751874
## YELLOW_FINGERS 0.3814759828 0.128104954 0.13853036 0.29389320
## ANXIETY 0.4033326977 0.205543431 -0.07469222 0.26312783
## PEER_PRESSURE 0.3069045925 0.105788877 0.22315119 0.15097246
## CHRONIC DISEASE 0.0902654180 0.066353796 0.10570086 -0.32228900
## FATIGUE -0.1024499601 -0.391147209 0.29985430 0.20127738
## ALLERGY -0.2493507498 0.239694551 0.12271547 -0.02157728
## WHEEZING -0.2442608884 0.124539773 0.26727611 0.32565680
## ALCOHOL_CONSUMING -0.3321543572 0.413483478 -0.08463899 0.03187039
## COUGHING -0.2792205789 -0.058744485 0.24960914 0.42897511
## SHORTNESS OF BREATH -0.1417347885 -0.424686551 0.17846341 0.18710306
## SWALLOWING DIFFICULTY 0.2925413504 0.343624495 0.11855529 0.25354529
## CHEST PAIN -0.2335726303 0.316920719 0.02654379 0.06741104
## WEIGHT -0.0003161562 0.138055198 0.49723646 -0.33025021
## HEIGHT_INCH 0.0485449546 0.155477544 0.49241846 -0.27906767
## PC5 PC6 PC7 PC8
## GENDER 0.20073240 -0.24182352 0.01184223 -0.03985594
## AGE 0.33787243 0.23970537 0.59890223 -0.53931034
## SMOKING -0.52742230 -0.22454151 0.15463295 -0.20038365
## YELLOW_FINGERS -0.02429773 0.03987572 0.14776817 0.31135018
## ANXIETY -0.14203498 0.02100195 0.25209607 0.16394901
## PEER_PRESSURE 0.09868719 -0.13237811 -0.39679983 -0.48888049
## CHRONIC DISEASE 0.34336849 -0.58708763 0.27268807 0.16305791
## FATIGUE -0.19343265 -0.19872006 -0.17492007 -0.30793949
## ALLERGY 0.06195362 -0.42347967 0.18154792 -0.13304550
## WHEEZING 0.15239622 -0.07376779 -0.30344915 0.23592177
## ALCOHOL_CONSUMING 0.10964754 -0.04578332 -0.04969458 -0.01545999
## COUGHING 0.13819136 0.11156157 0.09656026 0.21956243
## SHORTNESS OF BREATH -0.26321037 -0.22493715 0.29003504 0.21690138
## SWALLOWING DIFFICULTY -0.08485041 -0.18711304 -0.12109907 0.02088317
## CHEST PAIN -0.36362550 -0.22121918 0.06275957 -0.11472139
## WEIGHT -0.18496760 0.24504959 0.13211070 -0.01887354
## HEIGHT_INCH -0.28364547 0.18977120 0.11161979 -0.01894483
## PC9 PC10 PC11 PC12
## GENDER 0.281223963 -0.244510475 -0.19864542 0.05106762
## AGE -0.181259271 -0.179178546 -0.05135663 0.09966744
## SMOKING 0.339753798 -0.456246291 -0.21657468 -0.12513209
## YELLOW_FINGERS 0.158443155 0.321656428 -0.15293052 0.26549819
## ANXIETY -0.025925593 -0.006524112 0.32378188 0.05972929
## PEER_PRESSURE 0.096840684 0.223908923 -0.20262510 -0.31742172
## CHRONIC DISEASE -0.258475999 -0.054485578 -0.19258350 -0.03483907
## FATIGUE -0.196587965 0.100942472 0.31336340 0.29668046
## ALLERGY 0.539524367 0.193301357 0.42374977 0.12050452
## WHEEZING -0.038620686 -0.568302398 -0.07283366 0.28908157
## ALCOHOL_CONSUMING -0.031951385 -0.019777592 0.14861759 -0.21687274
## COUGHING 0.309583479 0.133044654 -0.28342941 -0.32037459
## SHORTNESS OF BREATH -0.217039867 0.069598604 0.09520010 -0.35152144
## SWALLOWING DIFFICULTY -0.312852651 -0.209578384 0.23533684 -0.25912909
## CHEST PAIN -0.292637073 0.281207000 -0.49725726 0.21746471
## WEIGHT 0.003135894 -0.124979041 0.06520556 -0.37197858
## HEIGHT_INCH 0.109288894 -0.106118071 -0.05641311 0.28916542
## PC13 PC14 PC15 PC16
## GENDER -0.15894162 0.55185603 0.36640789 -0.08405264
## AGE -0.04778967 -0.01222126 -0.04085982 0.10718595
## SMOKING 0.17075516 -0.24864171 -0.03445354 -0.03818447
## YELLOW_FINGERS 0.04413678 -0.28524951 0.08772850 0.24449863
## ANXIETY 0.07894326 0.02454333 0.36258509 -0.24996070
## PEER_PRESSURE 0.11049565 -0.16437026 0.05166587 0.26450112
## CHRONIC DISEASE 0.26824464 -0.30220749 -0.07820030 -0.16153534
## FATIGUE 0.23102739 -0.15679639 0.13579435 -0.35854302
## ALLERGY -0.27698525 0.00347222 -0.14402150 0.09185413
## WHEEZING -0.15780709 -0.21356468 0.10523380 0.20530205
## ALCOHOL_CONSUMING 0.47755491 0.19969356 0.50074175 0.13770113
## COUGHING 0.17712228 0.07652517 -0.18263798 -0.45814232
## SHORTNESS OF BREATH -0.01819713 0.11879426 0.04977730 0.51704680
## SWALLOWING DIFFICULTY -0.12461765 0.28371676 -0.44270428 -0.11953032
## CHEST PAIN -0.30203928 0.21227649 0.16091658 -0.11875744
## WEIGHT -0.33879401 -0.31881843 0.29309129 -0.17393309
## HEIGHT_INCH 0.46330708 0.27552099 -0.26518467 0.16642627
## PC17
## GENDER 0.16314656
## AGE 0.05623413
## SMOKING 0.12035893
## YELLOW_FINGERS 0.48817125
## ANXIETY -0.54709508
## PEER_PRESSURE -0.29176685
## CHRONIC DISEASE -0.07288202
## FATIGUE 0.20916257
## ALLERGY -0.05062214
## WHEEZING -0.18401827
## ALCOHOL_CONSUMING 0.29244662
## COUGHING -0.07868837
## SHORTNESS OF BREATH -0.11319831
## SWALLOWING DIFFICULTY 0.30009780
## CHEST PAIN -0.07706518
## WEIGHT 0.14740550
## HEIGHT_INCH -0.15886979
plot(cancer[,-1])
cancer_pca$x
## PC1 PC2 PC3 PC4 PC5
## [1,] -0.646329947 0.332751806 -0.44274023 2.859184418 0.122598754
## [2,] -0.610508061 0.058855781 0.83878638 -1.618262677 -1.600337930
## [3,] -0.749550736 -1.504421159 2.66955055 -0.633003311 -0.554423032
## [4,] 1.096019632 2.420201554 -1.33296429 -0.623882219 -1.620199492
## [5,] 0.036188930 -1.476567174 1.06322075 -0.297399332 0.877535001
## [6,] -0.532567242 -1.816704968 1.59490775 0.295408659 1.957759532
## [7,] -2.543550172 -0.443750841 0.65879801 -0.490274648 -2.164652907
## [8,] 2.572207921 -0.611692066 0.98184227 -0.400242160 -2.014776748
## [9,] 1.272938608 -1.748902681 -2.03358144 -0.603715268 -0.190135930
## [10,] 1.396823254 2.844502270 -1.74624933 -0.548914628 -0.481234509
## [11,] 2.064989024 -1.179537297 0.77287410 1.619240317 0.200840281
## [12,] -3.094017924 -0.236356800 0.18223710 0.351212010 1.270144781
## [13,] 0.217887666 -2.889346007 -0.91100600 -1.432307481 -1.045267875
## [14,] -3.138457875 -0.373951998 -0.53082600 0.580383563 -1.106225675
## [15,] -2.644849262 1.404467949 -1.44318316 0.143100628 0.232452899
## [16,] 1.650628200 -0.224745382 3.27395413 -0.093011818 -0.017887882
## [17,] -2.832351242 0.682525475 -0.73821564 -0.010801951 0.679269335
## [18,] 1.926614145 2.783633537 -0.57374848 -1.250303351 -1.057854292
## [19,] 2.058726013 -1.588839942 1.68092889 -0.276981888 -0.505797399
## [20,] 0.277622753 -2.858606054 -0.42259847 -2.045803131 0.939549144
## [21,] 3.229605844 -1.107957864 0.54769701 -1.054795775 -1.494603821
## [22,] 1.856494117 1.281078425 1.72529424 0.500791276 1.185679005
## [23,] -0.050480044 -3.127406007 -3.04980327 -1.990025288 -0.705699392
## [24,] -3.114648178 -0.180587030 0.10426359 0.266726364 -1.323963055
## [25,] 0.277610744 3.357861077 0.49327829 0.917467589 0.437189391
## [26,] -0.593103049 0.624184222 0.58814373 2.058674696 -0.508287510
## [27,] 0.798726715 0.817444755 0.93374653 -0.444838292 -2.523918618
## [28,] -1.483179713 -1.292781315 1.00754634 0.715640195 0.065334512
## [29,] 1.135171580 0.783408309 -1.75430086 0.465724163 -0.417313447
## [30,] -1.513992882 -1.471854090 -0.71445396 1.239531591 0.767188290
## [31,] 1.249804903 -1.966549418 -1.89456009 -0.936322757 -0.643651435
## [32,] -1.015659657 1.565562602 -1.96636100 0.688684179 -1.044736566
## [33,] 1.959456710 -0.179323614 -1.66903462 -0.161407143 -1.632984057
## [34,] 2.332965976 0.401390187 0.14559217 -1.127745419 -1.393041621
## [35,] 1.785139801 1.845010472 0.27438022 -1.498888257 -1.437361903
## [36,] 2.803119610 -0.463091900 -0.61631147 -1.129814399 -0.672500165
## [37,] -0.906183428 -0.252869061 0.60868898 -0.552044454 0.490794665
## [38,] 0.625607571 -1.096717211 -0.29615831 -1.482097111 1.247479925
## [39,] -0.980782008 -0.452929695 -1.00809976 -1.791086031 -0.953341909
## [40,] -2.531034433 1.054359249 -2.75170356 0.062941767 1.314619757
## [41,] -1.849943675 -0.036969503 -0.70926167 0.528593229 -1.528261831
## [42,] -0.768929068 0.787507023 -0.50866975 0.164717527 1.435220054
## [43,] 1.593703995 0.429036798 1.52983078 -0.546232596 1.925341348
## [44,] -1.913272210 0.172794143 0.20744605 -0.721150606 -1.789307797
## [45,] 1.543800949 0.459571313 -1.73845136 0.640217881 2.124908844
## [46,] 0.292377930 1.094376928 0.98377124 1.985566661 -0.599839321
## [47,] -0.251600030 0.717276148 0.11116195 -0.575662628 -0.910947467
## [48,] 0.254838293 0.616454646 0.11114292 1.765377472 -0.055649992
## [49,] 0.179367433 1.125141361 2.32349723 -0.520119821 0.277971205
## [50,] 0.952911843 1.162517658 -0.71030972 -2.443376329 1.135427261
## [51,] -0.851848170 0.904980380 1.94819723 -2.525220801 0.637015235
## [52,] 0.301087025 -0.841444915 -0.33470279 0.020924532 -0.407424612
## [53,] -0.906545994 1.108874215 1.03521271 0.179671277 -0.804835301
## [54,] -1.669956979 0.706463198 0.54089194 0.336371630 -0.952496542
## [55,] 0.195017025 -0.473764877 0.02002028 -0.520758210 2.360776695
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## [266,] 2.455060778 -0.932060495 -0.13446506 0.605103847 -1.049802875
## [267,] 1.289042304 -1.784059560 -2.00134352 -1.157706179 -0.679250082
## [268,] 1.464834078 3.334018842 -0.17613207 -1.228668742 -0.968154666
## [269,] 2.198079582 -0.920094403 1.60613778 0.943922005 -0.588805903
## [270,] -2.876746306 0.339743512 2.19185099 -1.486040419 -0.507401063
## [271,] 0.060055521 -3.317302160 -2.37218122 -0.195895671 0.166259201
## [272,] -3.142504794 -0.257942521 -0.17738398 0.552812520 -1.059087544
## [273,] -2.634807935 1.168554355 -2.23638980 0.468363114 0.337151628
## [274,] 1.505301199 -0.740318106 1.46628345 1.427782791 1.331421460
## [275,] -2.740709424 0.722367627 -0.45692349 -0.908981952 -0.263057377
## [276,] 1.905774831 2.562920015 -1.43666755 -0.402881750 -0.453816513
## [277,] 2.017633169 -1.986659604 0.38967132 0.286357120 -0.144177349
## [278,] 0.099735552 -2.950607582 -0.86988372 -0.826878661 2.360250992
## [279,] 3.015656624 -1.371646389 -0.56504871 0.865577325 0.487728246
## [280,] 1.825438683 0.837995677 0.24336244 1.242694873 1.631988024
## [281,] -0.131569292 -2.296085695 -0.47529079 -2.174913004 -0.202269462
## [282,] -1.322834911 -1.037008743 -0.41131805 -1.699174863 -2.575108219
## [283,] 1.736775731 1.283284999 -1.49919175 -0.917952163 -1.119800076
## [284,] -0.592930367 0.224645288 -0.78024226 2.755903856 -0.168581495
## [285,] 1.928894090 2.708029329 -0.86288820 -1.014020749 -0.920456081
## [286,] 2.367428208 -1.947699135 -1.30903111 2.358687696 -0.378804689
## [287,] 0.290098251 -2.530916123 0.71152818 -2.701725928 0.558829150
## [288,] 3.070879292 -0.884056499 1.49195594 -0.861410776 -2.416739566
## [289,] 1.901858849 1.316866466 1.83316729 0.347207053 0.949670177
## [290,] -0.148458186 -2.510569491 -1.25163372 -1.591987828 0.190570397
## [291,] -3.160670480 -0.142895407 0.08071687 0.912125001 -0.674116273
## [292,] -0.350752444 2.762553158 -1.29900566 1.452158009 0.740670485
## [293,] -0.898366238 -0.174979956 0.55300720 1.296536856 0.308268936
## [294,] 0.861502720 -1.425901982 -1.64547390 0.420718507 -1.767384879
## [295,] -1.473211209 -1.294127913 1.01677328 0.634936076 -0.026911060
## [296,] 1.111453285 0.841309250 -1.52709178 0.333852745 -0.419205639
## [297,] -1.529405423 -1.178528936 0.25100317 0.921255092 0.711687244
## [298,] 0.258107397 -1.743891382 1.19553857 -0.139263124 0.027543069
## [299,] -1.904656129 -0.528637935 -1.18196439 1.415971336 -1.132951811
## [300,] 1.848956846 0.029663156 0.79616089 0.147726816 -1.830864913
## [301,] 1.150509115 0.284559833 2.21074344 1.095715426 -0.877160551
## [302,] 1.152918867 3.108695777 -0.10406543 -0.443281716 -0.231421332
## [303,] 1.932277477 -1.124180447 1.11643983 2.110205036 -0.653007261
## [304,] -2.222289178 0.217516381 1.31604101 -0.408380875 -0.025831892
## [305,] 0.309135098 -1.125563191 1.01347625 -0.729745122 1.004636281
## [306,] -3.290318919 -0.773981843 -1.92760392 1.864300336 0.137285445
## [307,] -2.664442991 1.297484746 -1.64793851 -0.204320402 -0.026482672
## [308,] -1.831829290 0.042083823 -0.43588975 0.322802182 -1.701712188
## [309,] -0.648431973 1.114788359 0.51649880 -0.439377745 0.770588458
## PC6 PC7 PC8 PC9 PC10
## [1,] 0.7182594090 0.0900371245 1.051744451 -1.937650817 0.4989633841
## [2,] -0.6772550951 1.9777064114 -1.557168739 -1.216866754 -0.5305604825
## [3,] 1.1916488129 -1.2195053227 -0.411285727 -0.323523971 -0.1148162874
## [4,] 1.7403584683 0.6091639642 0.258612735 -0.654105790 -0.2130147794
## [5,] 2.1847893962 0.2198466952 1.845426766 0.627204075 -0.6014890431
## [6,] -0.2480383908 1.4550678660 0.483870124 0.558138013 -0.2014692509
## [7,] 0.9965416546 -0.8530147261 0.684045214 -0.285018564 -0.7811912336
## [8,] -0.5055130553 -0.4251606584 -0.227317424 1.333349131 0.1917601304
## [9,] 1.1709683751 0.1970313925 -1.162926497 0.312410711 -1.0231229714
## [10,] -1.4206369931 -0.3235588013 0.045516341 0.241215288 1.0354175725
## [11,] -0.9877439635 -0.2335341620 0.675723070 -0.141706192 -1.1092713774
## [12,] -0.7610221388 0.7783351846 -0.103927236 -0.972945187 0.3836599781
## [13,] 0.7356356660 -0.1182467785 -0.538078442 0.115259335 -0.8498243779
## [14,] -0.3303380494 -0.4144204301 0.078712304 0.509575391 -0.1786395470
## [15,] 0.8668959754 0.1542886143 -0.441232526 1.201097550 -0.7763798784
## [16,] -1.0582597188 -0.7242179155 1.600738198 0.810017235 0.0978269150
## [17,] -0.5049244711 1.7816022095 -0.061502145 0.001210227 -0.9101287848
## [18,] 0.1840838476 -0.0442652608 -0.003095435 -0.819714203 0.2257921571
## [19,] 0.4184360878 1.5182832851 -0.362960279 0.678886989 -0.0700320345
## [20,] -0.1026575213 0.1029842000 0.139143879 -1.173656688 0.0186207447
## [21,] -1.1480175988 -0.8296570774 0.839375250 -0.234943802 -0.0825857254
## [22,] 1.3263081293 -0.4222197926 0.444424752 1.718445639 -0.4170879515
## [23,] -3.4638911787 -2.6363622952 2.172674109 1.263816491 0.8334590948
## [24,] -0.0004180954 -0.1158383494 -0.076506354 0.541266927 -0.3670905070
## [25,] -0.2750442777 0.9287661421 -0.325823814 0.423680522 -0.5182746874
## [26,] 1.0816548676 0.0640144973 1.274308400 -1.764172546 0.3344585771
## [27,] -0.2832546918 1.2360719838 -0.187090224 0.315365054 -0.0554968227
## [28,] 1.3433206731 -0.8591849926 -0.936163793 -1.220062630 0.4830794498
## [29,] -1.6799924024 -0.0281633721 2.156630368 -1.020784884 -1.1447949606
## [30,] 1.0710626285 -1.3284110672 1.834728862 -0.381994526 0.6811806747
## [31,] 0.8185042829 0.1595997123 0.965113863 0.982824838 -0.1867421466
## [32,] -0.5116245789 0.2213173362 0.411993823 -0.538385421 -1.0926900877
## [33,] 1.2290071541 0.4714686091 1.461225803 -0.325889829 -0.2473663898
## [34,] -0.0646666045 2.2433620737 0.710404490 -0.950511191 -0.7809675133
## [35,] 2.4754853111 0.2893439181 0.923999043 -0.982576123 0.6579637222
## [36,] -0.1422025234 1.3713987956 1.491799348 -0.266482715 -1.0176272530
## [37,] 0.8160953361 0.5636397794 2.230793234 -1.029467745 0.4891853321
## [38,] -0.3534221454 -0.7417774978 1.638132555 -1.319142919 -1.6484147935
## [39,] -0.1721706898 0.0335387929 1.024852681 -1.148675650 -1.2064988678
## [40,] -1.1755253233 -0.3055779800 0.531840085 0.641114542 -0.3585174104
## [41,] 0.3339185093 1.5334741172 -0.742220999 0.397824082 0.6322714144
## [42,] 0.1743686979 -2.4061791305 -1.430371076 -0.412504818 -0.2390151804
## [43,] 1.0164937988 0.2833156337 -0.990443898 -0.608638156 -0.8755992881
## [44,] -0.6089020677 -1.6271801419 -0.979063296 0.261435435 -0.0709340761
## [45,] -0.2960954667 -0.0609937498 -0.506122202 0.560648901 -0.3045133671
## [46,] -0.4779798997 0.7123433988 -0.252310393 -1.474850571 -0.4690179776
## [47,] -0.5681313101 1.8002197935 0.989506417 0.151660074 0.5940115661
## [48,] 0.0650024003 -1.6861801155 -0.882564748 0.225197238 -0.6288864935
## [49,] -1.3100505736 0.3797064291 -1.171015537 -1.344665437 -0.7421368508
## [50,] 1.3420468766 -0.3811321637 -0.227571574 -0.652518402 0.3433578516
## [51,] -0.8400332772 -1.4635314100 -1.078142846 0.099897456 -0.1895171928
## [52,] -0.8236403909 1.1294305256 0.840477295 0.190213575 -0.6073655522
## [53,] -0.7293181061 -2.1049759827 -1.159698724 1.358785707 -0.9020524475
## [54,] -2.3456226474 -1.5198752771 0.052128540 -0.129470207 -0.1026399486
## [55,] -0.8361005036 -0.9337361769 -0.234221327 1.426062323 1.7765311821
## [56,] 0.6763606802 0.0390138240 2.563417845 0.722616967 -0.3790244685
## [57,] 1.6946080427 0.0698616819 -0.534759032 0.043136450 1.5033693120
## [58,] -0.3582806110 1.6811886957 0.042283265 -1.182450667 0.7849571961
## [59,] -1.3495183401 -2.2578695319 1.090262317 -2.250237313 1.0030432414
## [60,] 0.2690629341 1.1554971565 -1.160881822 0.832217716 1.6653117813
## [61,] -0.7234518984 -0.6127871702 -0.742339680 -0.649836684 0.8693699595
## [62,] 2.7376481997 0.5069278238 1.443017228 1.237888114 0.4514609616
## [63,] 1.4658335990 -0.9257069648 -0.898460096 1.182587630 0.7225827545
## [64,] -0.3455726719 0.3440809009 0.421923404 -0.198799051 -1.7624832578
## [65,] 1.0291862289 0.3015066007 -0.973691647 0.197857462 1.1499283042
## [66,] -0.8641232698 -0.0765569415 -0.652176582 -0.405376799 -0.8177445459
## [67,] -0.8224879637 0.4260268121 1.467835590 0.414959404 0.5598897961
## [68,] 1.4683182389 -0.1736121977 0.029019490 -0.125692739 -1.4472406140
## [69,] -1.1647333718 1.0018628504 -2.021014782 0.026036013 0.7065863902
## [70,] 0.7122713714 0.4831732842 -0.770951147 0.048311261 -1.3917275625
## [71,] 0.2163691129 0.2332136225 -1.264055897 0.342708666 0.8105451156
## [72,] 0.8927285143 -0.0892148898 -0.031393992 0.512702951 -1.4173886846
## [73,] -0.1471944405 0.8343504360 0.160820099 -0.725256307 0.0941240714
## [74,] -1.2948417212 -0.0557786798 -0.137358569 -0.634600071 -0.5015041758
## [75,] -0.0085485247 -0.0638697694 -0.138921766 0.508917015 -0.3690218531
## [76,] 0.8865859209 -0.8394523284 0.524187877 1.924133725 -1.0392422670
## [77,] -0.9823598934 1.2710772242 -0.440050417 -0.551349005 0.2165906641
## [78,] -0.3369973922 -0.5403419775 0.209784606 0.463483093 -0.1534376132
## [79,] 0.0259121267 0.4476842656 -0.627700825 -0.986909443 0.2319467291
## [80,] 0.2603971391 0.8509880060 -1.147268964 -0.332077475 0.4277897576
## [81,] 1.3454849598 -0.4571683277 -0.020774310 -0.503014456 0.0002491504
## [82,] -1.3530858031 -0.3732312052 0.223143075 -0.520275980 -0.0422490303
## [83,] -0.7627017522 0.3161724869 -0.237643091 0.721497336 -1.3314564476
## [84,] -0.0620643948 1.6063796501 -1.349044882 0.595672201 0.4284075233
## [85,] -0.6206514250 0.4762684616 0.434017829 -0.448693689 1.6330839047
## [86,] 2.1908847748 0.1637682633 2.454547104 -0.535495194 -0.5434528668
## [87,] 0.2751173563 2.4020282519 1.387369642 -0.084458879 1.8146097334
## [88,] 1.6504616104 -0.6662903002 0.575775492 -1.644130385 -0.1523657271
## [89,] -0.2146076649 1.4666407787 0.505539732 1.817924110 -0.4343689651
## [90,] -2.1768553940 -1.7351397721 -1.333156393 0.080157982 -1.2516603384
## [91,] 1.0186361905 -2.0232826855 -0.799342765 -0.912119506 -1.0274541464
## [92,] -0.2200662088 1.8899057953 -0.629502096 -0.091212678 0.6710501797
## [93,] -1.0107223981 -0.8968021944 -0.126530551 -0.421850393 -1.4183187612
## [94,] -1.1577149024 -0.0636793450 1.564665414 0.807153497 -0.0043867516
## [95,] -1.5072647311 0.0592587589 0.582670492 -0.164119150 0.3775130916
## [96,] 1.5259187055 -0.9655011371 -0.748051421 -1.302623761 1.4527806508
## [97,] -0.1637854681 1.5368529740 0.950410816 1.721597416 0.9008138964
## [98,] 0.9508989263 -0.8494160616 -0.248636294 0.471625838 0.4169054384
## [99,] 1.0144025218 -0.4992410790 -0.560620283 0.691692676 1.7044333766
## [100,] -0.3562594091 -0.5342511547 0.203608313 0.652327066 -0.1601264925
## [101,] 0.3708067531 -1.1246810404 0.567242964 1.835325079 -0.7690079514
## [102,] -1.1290063766 1.4719086875 -0.743095409 -0.735893847 0.2628648726
## [103,] 0.2041381246 0.2229040775 -0.345847951 0.449964713 -0.4987912831
## [104,] -0.8695346006 -0.3409421701 -0.232314140 -1.113917852 0.7431986222
## [105,] 0.0723947812 0.6925719895 -1.069418071 -0.310371025 0.5304621119
## [106,] -0.0554569866 0.0755250438 0.196947992 -1.101256206 -0.0028281165
## [107,] -1.0389338753 0.2008116952 -0.247093174 -0.624737779 -0.2552554493
## [108,] -1.7760017934 -0.3625785345 -0.024329847 0.546246507 -0.7826981967
## [109,] -0.6959887781 -0.5506915739 0.722714406 1.481103955 0.9582937953
## [110,] -1.5009075090 -0.2694747464 0.242771907 -1.313300537 1.7446768220
## [111,] 0.7721592121 -0.5007936668 1.741059639 -1.582473312 0.5383504753
## [112,] -0.1786876761 1.0043210869 -0.076456082 -0.295559463 0.6303679021
## [113,] 1.0975871227 -0.7515649166 -0.976754994 -0.483134189 -0.1330556079
## [114,] 0.8109343836 -0.0744906829 0.525611419 -0.724544164 0.2928001118
## [115,] 1.6989983193 0.2889697648 0.580747364 0.065922053 -0.5144149776
## [116,] -0.2374686197 1.2887322457 0.673565647 0.620826656 -0.1856408041
## [117,] 0.8656125423 -0.6423756808 0.379169440 -0.454051005 -0.7442702200
## [118,] -0.5384903355 -0.4441595600 -0.224210212 1.318922104 0.2098020718
## [119,] -0.3552300797 -1.4745007896 0.838083505 0.467445375 -0.6716257921
## [120,] 0.3387541618 -0.6407139977 -0.198961684 0.689511369 1.2276216679
## [121,] 0.9136912900 0.2426837929 -0.602595371 -0.581945067 -0.7445689248
## [122,] -1.1391646868 0.1148555047 0.433621924 -0.820832543 0.6339637929
## [123,] 0.1651649186 0.7809959958 0.376483824 -0.884545536 -0.5064679539
## [124,] -0.7451062410 1.6588536662 0.946834768 1.341799538 -1.1139316268
## [125,] 0.8235605948 0.7164128606 -0.963286338 1.235061630 0.4581502578
## [126,] -1.2672067972 -0.0068735808 0.836256857 1.088810772 2.0241027825
## [127,] -0.0077115597 -1.4676015751 0.832255495 -0.458713706 -0.2460666886
## [128,] -0.3383763662 -0.2722116474 -0.024674611 -0.888835497 0.4888132531
## [129,] 0.7419381633 -0.1076489376 0.029390947 0.658058499 -0.0578570215
## [130,] 0.4638030231 0.5378067703 -0.038345799 -1.038889873 -0.2992065070
## [131,] 0.0945553526 -0.9337798477 0.063322004 0.148915534 -0.0602388136
## [132,] 1.2095806065 -0.6453998127 0.638445956 1.914751260 -0.3481466341
## [133,] -1.3843500914 0.8000989766 -0.537640722 0.703789691 -0.5316666565
## [134,] -0.0455328316 0.7556806541 -1.079006294 -0.041677733 -0.4355276635
## [135,] 0.0231238238 1.6988749691 0.703402459 0.445462885 -0.9924850506
## [136,] 1.7888091581 0.0585350854 0.594625140 -1.524956540 -1.0868101484
## [137,] -0.9717704657 0.6457854708 0.219401552 0.829861806 1.0510281059
## [138,] 1.1832826573 -1.0601524697 -0.796831970 -1.180393963 0.5788461576
## [139,] -0.0508669693 0.9429216129 1.951171888 -0.613932393 -2.0182766483
## [140,] 2.0870227677 -0.3011120027 1.238775379 -0.296857101 0.0855744387
## [141,] -1.4389026065 -0.8796265990 0.915326198 2.103435482 -0.2405369992
## [142,] 0.3051253884 -0.1952539981 0.443883211 -0.826697048 -0.4671736948
## [143,] -0.0369880082 0.3343112252 -1.030124644 0.345427832 0.6008144372
## [144,] -2.0400765567 0.5119759210 0.028013880 0.415284019 -0.3025763820
## [145,] 0.0930397639 -0.6174323406 -0.562455850 -0.263503826 2.0504662305
## [146,] 0.2528038411 -0.5038819253 0.087127034 0.383882144 -1.0715888920
## [147,] -0.8005831934 -0.1851281935 1.863196139 -0.131122830 1.2344499680
## [148,] -1.2396387560 -1.4756288359 -0.010519121 -1.086185872 0.6454765490
## [149,] 0.3454322958 0.6440632709 -0.738175847 0.337190365 -0.6142109170
## [150,] 1.0461288333 -0.3753863876 0.241411442 1.484269431 -0.7944864282
## [151,] 0.4209853126 1.5278721225 -0.687656836 0.474918495 0.5901247880
## [152,] 0.6397347854 -2.2017917867 -1.407752004 -0.261232284 -0.4801552665
## [153,] 0.2325984366 -0.3262884833 -0.732604948 -0.727790279 -0.4395895903
## [154,] 1.7338435668 -0.3562352562 -2.052488478 -0.296390537 0.0705721633
## [155,] 1.0210620303 0.3541803589 -0.677654700 1.131487179 -0.6532506045
## [156,] -0.0180242128 0.9453445750 -1.094053230 -0.793053986 0.9228261852
## [157,] 1.1350807495 0.1674140587 1.243957952 0.085922136 0.1750268486
## [158,] 0.4899893085 -1.1671787616 -0.681688653 0.926498219 0.7351731185
## [159,] -1.6011891275 -0.5675271901 -0.265382182 -0.912439898 -0.5072070942
## [160,] 0.8174613115 -0.2245479761 -0.686193244 -1.048232404 0.5737234783
## [161,] -1.1636492127 -1.7089218451 -0.983401957 -0.039235966 -0.0037856410
## [162,] -1.4764985239 0.7060534460 0.960802202 0.041287018 -0.2532281652
## [163,] 0.0123849297 -0.6225543814 -2.420133891 0.891850886 -1.4077121018
## [164,] -1.7770760442 -0.1299594593 -1.195363581 -0.588911094 -0.5208351046
## [165,] -0.2199517199 0.4277816483 -1.423403106 1.025766645 1.3378403183
## [166,] 0.2780319606 0.4388036958 1.903119075 0.301594364 -0.2373823573
## [167,] 0.6121603471 -0.6378332192 -0.319995207 -0.037338226 2.0790400840
## [168,] -0.7707938729 0.8283199021 0.772443060 -0.954741742 1.0728323789
## [169,] -1.2021527111 -2.3460650000 1.267380424 -2.135401657 0.9447027093
## [170,] -0.7205278287 -0.1291437145 -0.256494050 1.025728132 2.2676347800
## [171,] -1.0264924611 -1.6772936407 0.289434663 -0.132068480 1.1206742753
## [172,] 2.2782600232 0.0826961192 1.671016160 1.242534575 0.7115186472
## [173,] 0.8998145765 -2.0343515648 0.034489718 1.459591140 1.1109537286
## [174,] -0.6761343382 0.2146982763 0.387838889 -0.321613878 -1.5924299842
## [175,] 1.3497806076 0.3745604622 -0.878306889 0.414728710 0.9856275880
## [176,] -1.4501292141 -1.0857408632 0.157376686 -0.221442977 -0.4288626087
## [177,] -1.0214775390 1.1091632617 0.599886515 -0.021933204 0.5747927226
## [178,] 0.9320217107 -0.5867890683 0.201682913 -0.198283475 -1.1501934465
## [179,] -1.3591435209 0.0330178224 -1.051696479 0.291954748 0.9157083789
## [180,] 0.3486106719 -0.0599003018 -0.360551765 0.134912154 -1.1608604319
## [181,] 0.3677946878 0.0377246467 -0.962664974 0.559060480 0.7590612137
## [182,] 0.2758235097 0.0118436664 -0.480229844 0.049761629 -1.1341711040
## [183,] -0.9741297245 0.6021690226 -0.022182872 -0.999941633 0.5033614307
## [184,] -0.1010498318 1.2385747039 -0.937122001 -0.619518881 -1.2081725818
## [185,] 0.3706486873 0.7600695114 -0.861416151 0.154897374 -0.6289121694
## [186,] 1.5819467904 0.6204102094 -0.733805428 1.484436263 -1.5236970667
## [187,] 0.7652837924 0.4368488852 -1.076046923 -0.420415389 0.5967887802
## [188,] 1.2777193864 -1.2604820337 -0.557196949 0.016967831 -0.2540919744
## [189,] 0.8515111665 0.4899797137 -0.268220706 0.182423727 0.1965403010
## [190,] 0.7538761858 -0.4793833475 -1.430310635 0.854569132 0.1975468785
## [191,] 1.3256558842 0.4895357181 -0.900549936 -0.719720641 -0.6862211995
## [192,] -0.8281213472 -0.8545482639 -0.306147756 0.460734554 0.3932732045
## [193,] 0.1138488915 -0.4218965365 0.558712757 1.083030456 -0.0679257010
## [194,] 1.0918867660 -0.4414858098 -0.867641233 -0.154848657 -0.2057153022
## [195,] -0.0361418701 1.1940454863 -0.056101725 -0.572886618 1.2842161588
## [196,] 1.7467046384 0.4230309211 1.925306225 -0.928240235 -0.3631585981
## [197,] -0.4171954059 1.9082983690 1.570395017 -0.118208163 2.1876612889
## [198,] 1.3136000892 -1.0284662359 0.796197497 -1.683831453 0.0492111750
## [199,] 0.0235462607 2.2138935840 -0.205790580 1.454668455 -0.6216761071
## [200,] -1.9391008388 -1.5916732020 -1.358576237 0.258672413 -1.3882423287
## [201,] 0.5061086374 -2.2539731423 -0.817921519 -1.074066868 -0.7613814886
## [202,] -1.5006946642 0.5518371759 0.175508173 -0.071826492 1.4188995711
## [203,] -0.6275023585 0.5611925357 -1.548379259 -0.992608594 -1.7591623977
## [204,] -0.6194051296 0.5711016494 1.141953344 0.694678859 -0.3218729187
## [205,] -0.9273606014 2.1383255449 -1.425359927 -0.932253579 -0.1262317369
## [206,] 1.5353342036 -0.8566145090 -0.870725157 -1.469063084 1.4447359764
## [207,] 0.2843473182 2.3606655844 0.276786804 1.619469616 0.5927392689
## [208,] 2.1082846487 0.0794758735 -0.565386610 0.756200838 -0.1403342114
## [209,] 1.6773717584 0.0450418316 -0.809086210 0.807831385 1.3302258702
## [210,] 0.6991278108 -0.0095894399 0.179769365 0.836207202 -0.7043745674
## [211,] 1.2541072676 -0.8600370530 0.744939979 2.134547447 -1.2090722109
## [212,] -1.2882696167 1.1553962021 -0.476224826 -0.669127906 0.3736588436
## [213,] -0.7026680506 -0.6172392913 0.108360098 0.480835278 0.0133481689
## [214,] -0.3097785811 0.0864806846 -0.407527603 -1.022680111 0.4325845747
## [215,] 0.3030799705 0.1932021189 -0.391930040 0.002912519 0.4835420076
## [216,] 0.0884210532 0.2639798854 0.060627755 -1.184750704 -0.0865438470
## [217,] -0.5076065148 0.8397193769 -0.672936226 -0.646734882 -0.5770894616
## [218,] -1.9000416601 -0.6517011170 0.235922306 0.709875493 -0.6982881326
## [219,] -0.3537816061 0.8331990739 -0.634960319 0.992090639 0.6400768789
## [220,] -0.1420316905 1.5292124380 -0.488210514 -0.825313721 1.2978894992
## [221,] -2.7715548775 -1.1711189217 -0.224810404 -1.292249361 0.1126633235
## [222,] 0.9478196676 -0.5524772989 -0.253200914 -0.863825131 0.5535381578
## [223,] -0.3074748126 0.0308155105 -2.454120724 -0.296762847 -0.6126684205
## [224,] -1.0298320649 1.0206780718 0.855237899 0.215226261 -0.5046193620
## [225,] -1.2212535442 -1.9376653665 -1.617638308 0.884574081 -0.6814473948
## [226,] -1.7503323526 -0.6239726748 -0.629460887 -0.312870598 -0.4785053719
## [227,] -0.0392305174 0.2615016712 -1.130505607 1.396462056 1.2579694919
## [228,] 0.2225209433 0.8615858150 1.402180848 0.064659209 -0.2595934931
## [229,] 0.7412912740 -0.8531850969 -0.013240528 0.088707514 2.0467880852
## [230,] -0.7891935436 0.5454448937 1.084975113 -0.692704938 1.1037826112
## [231,] -0.2848528400 0.0915404055 -0.959288153 -2.908879872 0.2430427710
## [232,] 0.3190198692 0.8987541821 -0.848630395 0.972090818 1.6721437422
## [233,] -0.3048533945 -0.8294496564 -0.274188663 -0.289207469 0.6960047812
## [234,] 2.2580891391 -0.3672360792 2.171436426 1.635181116 0.7586462447
## [235,] 2.2292543596 -0.0922318122 -1.411306251 1.281549337 0.2631799499
## [236,] -0.3527796009 0.1126639646 0.675632513 -0.094287409 -1.7323666455
## [237,] -0.0255121956 -0.9127629007 -0.187010389 0.243044661 1.7805492648
## [238,] -1.2341259405 -1.2470149473 0.454072898 -0.011152504 -0.5126806365
## [239,] -1.2742061293 -0.8500378489 2.645838204 0.780696755 0.9179201758
## [240,] 1.5845528807 0.3445231282 -0.272478651 1.454825603 -0.6233202025
## [241,] -1.1153339245 0.9284920103 -1.425772808 0.817089168 -0.3921075456
## [242,] 0.1514350674 -0.0946406719 -0.023153129 0.525905682 -0.4341328443
## [243,] 0.1200518159 2.0631355943 -0.104296840 -0.338243733 -1.3731108572
## [244,] 0.2027959021 -0.0849401635 1.463003500 -1.950875326 -0.9218141608
## [245,] -0.7978352078 1.1938858224 -0.299961432 0.614450844 0.9101726144
## [246,] 0.7396572613 -1.8187328378 -0.722086197 -1.493394128 0.4645379441
## [247,] -0.2925104736 1.7654731385 0.900472570 -1.224373692 -1.9931934779
## [248,] 1.5528942911 -0.3823914320 1.036454458 -0.647625094 0.3524471733
## [249,] -1.3878602134 0.1146013481 -0.164370679 1.656090276 -0.3786438121
## [250,] 0.8920970829 -0.2471013297 -1.020127228 -0.368418686 -0.1360227207
## [251,] 0.5619597323 0.8961292302 -1.334701366 0.379131211 0.2574922605
## [252,] -1.9119232499 0.6272419580 -0.040167086 0.267890918 -0.3638157824
## [253,] -0.6003662352 -0.0860071646 0.036601334 -0.492122827 1.7173048359
## [254,] -0.0075139193 -0.5445206700 -0.012862474 0.166851359 -0.9379488813
## [255,] -0.3317993324 1.3861884739 0.366675439 -0.608606841 0.8330237465
## [256,] -0.1633623299 0.3209166774 -1.432590791 -1.371786484 -0.0640701133
## [257,] -0.2232857151 -0.2414764424 -0.056790620 0.475449978 -0.2479260376
## [258,] 0.6025818559 -0.2811734954 -0.100457057 1.230327282 -0.5999538620
## [259,] 0.4170038534 1.6903016657 -0.874392374 0.326717780 0.5784111216
## [260,] 0.0002427880 -2.7793829806 -1.102881662 -0.225616264 -0.1222536990
## [261,] 0.1823409035 -1.1936153031 0.214544196 -0.186836394 -0.3278446880
## [262,] -1.2715304280 -2.7286452138 -0.103067971 0.538373097 0.3577129850
## [263,] 1.4670339885 0.0560863487 1.649570038 0.463640188 -0.2575170414
## [264,] -1.2367743349 0.6690005850 0.825026937 0.357533884 0.3547903089
## [265,] 1.1603304648 0.2564488286 -0.466493609 -0.784972182 -0.9809742273
## [266,] -0.7338553859 -0.0482649295 -0.773772879 0.957953335 0.2606999512
## [267,] 0.8889099300 -0.7066213845 -0.312820562 0.509747636 -0.7811957618
## [268,] -0.5705395526 0.5542518386 -0.472892785 0.313815624 0.5342072708
## [269,] -0.8512332042 -0.4827810745 1.036359939 0.228757735 -1.1577294509
## [270,] -0.3740756655 0.0417266096 0.932044033 -0.273332092 0.2768452963
## [271,] 0.4032019324 0.2527873889 -1.136724346 -0.363677374 -0.7277646423
## [272,] -0.0441355087 0.0294030664 -0.262150079 0.441155012 -0.3627821102
## [273,] 0.3577792653 -0.4086229346 -0.083707788 1.279164475 -0.4796391971
## [274,] -1.5531806436 -0.3803915162 0.949686923 0.343125451 0.2926302275
## [275,] -0.8756634804 0.4962594512 1.171716745 0.439440455 -0.5907452008
## [276,] -0.0669921990 0.2226560485 -0.428683876 -0.958918591 0.3034629867
## [277,] -0.3019960188 0.7735920022 0.079229910 0.654463086 0.3520907959
## [278,] 0.4308091328 1.8659576704 -1.545778625 -1.887880264 -0.4217303502
## [279,] -0.7519674960 1.2586366080 -1.278552065 -1.119937175 -0.5003505269
## [280,] 0.5227459304 -1.1517873688 0.828307407 1.701901555 0.0377575323
## [281,] -1.2891964728 0.7268513687 -0.413380030 0.633575030 -0.5561705670
## [282,] 0.0072723101 0.1177275082 -0.650013848 0.271424375 0.5749921706
## [283,] 1.3745317270 -1.0682943337 1.842989199 -0.939231198 1.3300725948
## [284,] 0.3001583816 -0.6476922795 1.653718382 -1.711975445 0.7720718709
## [285,] 0.0608953430 -0.0522280140 -0.057624847 -0.829450762 0.2804388426
## [286,] -0.3793650617 -0.7280509615 0.123139185 0.461371200 0.5299479216
## [287,] 0.4851285995 0.5384871928 -0.034959347 -1.162760972 -0.2992416890
## [288,] 0.7206171053 -0.5881867306 0.011350392 0.249568814 -0.3876300550
## [289,] 1.2655471357 -0.6204720310 0.636573907 1.855271946 -0.3714336955
## [290,] -1.6098224177 0.6667855015 -0.514808749 0.565964376 -0.4048883452
## [291,] 0.3830414208 1.0109341013 -1.123266595 0.241569021 -0.6783633899
## [292,] -0.6782178362 1.3000455823 0.767054107 0.198642605 -0.6140196286
## [293,] 1.6844910775 -0.0002079914 0.603823492 -1.555022296 -1.0310973402
## [294,] -1.1399821131 0.5706408517 0.225131480 1.006080236 1.1212419211
## [295,] 1.2939157922 -1.0000212360 -0.805579220 -1.173390048 0.5219335656
## [296,] -1.5209166720 0.1111558629 2.082635517 -1.083053578 -1.2292044177
## [297,] 1.7354934370 -0.5086166346 1.274213378 -0.507815962 0.2828894521
## [298,] -1.7703871607 -1.0686169716 0.945636813 1.981196497 -0.0611704156
## [299,] 0.6019869525 -0.0363752051 0.421560655 -0.836265536 -0.6174102949
## [300,] 0.4477745716 0.6016858070 -1.070264315 0.420841396 0.3475341540
## [301,] -1.7409282983 0.6768220842 0.003313970 0.460084373 -0.4587245723
## [302,] 1.0154864475 -0.0985800207 -0.643518629 -0.004429237 1.5584108132
## [303,] 0.4923718799 -0.3707895537 0.066845323 0.432132091 -1.1977180848
## [304,] -0.8242134745 -0.2005517233 1.866263998 -0.162230166 1.2491918924
## [305,] -0.5806708637 -1.0993056715 -0.071064434 -0.836025698 0.2882833788
## [306,] -0.5943934264 0.1107253930 -0.653395882 0.019173765 -0.1081640853
## [307,] 0.5500102538 -0.6588696646 0.287068731 1.294093947 -0.5254052273
## [308,] 0.4272639574 1.5292324864 -0.687199135 0.451762489 0.5889517563
## [309,] 0.5268382605 -2.2511204799 -1.404420153 -0.130277486 -0.4341384337
## PC11 PC12 PC13 PC14 PC15
## [1,] 0.420523565 0.4334820544 0.016896184 0.568431041 0.4383575733
## [2,] 0.462308125 0.3986804449 -0.218844308 0.061830934 -2.0687208915
## [3,] -1.315721292 -0.6118901582 -1.234182675 0.374500028 0.7773050725
## [4,] -0.036031283 -0.2638657935 -0.338447239 0.010300783 0.5421504516
## [5,] -0.912182701 -0.4352120930 -1.415924824 0.029107293 0.2282780957
## [6,] 0.006675664 1.2983623838 -0.206751142 -0.234096001 -0.6232337130
## [7,] -0.681612182 -0.4367979407 0.627895778 -0.126860747 0.5778337358
## [8,] 1.570297126 -0.3494589711 -0.224076737 0.307935702 -0.1791024816
## [9,] 0.588029356 1.3889527245 0.379929206 0.698899496 0.2331253689
## [10,] 0.013843135 -0.3935900740 0.183078896 -0.531951622 -0.0795574606
## [11,] -0.393455043 -0.8581065623 0.256269265 -0.857916040 0.0129291768
## [12,] 0.012211427 0.7468853985 0.391100484 0.158685593 -0.2626260427
## [13,] 0.249502857 0.0929055090 -0.044637030 0.616334219 -0.0808919597
## [14,] 0.108202924 0.0621200579 -0.074766804 -0.009759719 0.1656639689
## [15,] -0.894184802 0.6667391909 -0.134044309 0.395128230 -0.5965953711
## [16,] 0.908454725 -0.2179462237 0.185976081 -0.004498742 -0.4711337983
## [17,] -0.992433913 -0.7479697500 -0.485089739 -0.584556336 -0.1028938720
## [18,] -0.796874258 -0.9948424816 0.538850685 -0.867448372 0.4749865902
## [19,] -0.844001807 -0.4463708756 1.628548810 -0.604924292 0.2536040792
## [20,] 0.320441162 0.1598941284 -0.096108696 0.385799068 -0.0495534724
## [21,] 0.467789803 -1.2219438435 0.249408139 -0.731181079 0.4061416274
## [22,] 0.411759401 -0.2953011717 -1.528031755 0.251766287 -0.3967280920
## [23,] 0.951863976 -0.0769681900 -0.219517073 0.120893372 -0.3421600285
## [24,] 0.095539826 0.0651550583 0.029651045 -0.012197733 0.1471579650
## [25,] -0.734840381 -0.7561054781 -0.278001541 -1.273542765 0.0662511665
## [26,] 0.494253801 0.0829017276 -0.087042222 0.335995178 0.6686192208
## [27,] 1.219675724 0.3473208400 -0.118633159 1.409979591 1.0286389588
## [28,] -1.041488146 -0.2161509584 -0.829347522 -0.448322267 -0.2646588750
## [29,] -0.837946225 0.2926483701 0.133017998 1.000956763 0.8888048793
## [30,] 0.404992386 0.1465291483 0.689510060 -0.526647777 0.4152453066
## [31,] -0.863377283 0.8313440043 0.490013777 1.143399608 -0.8880189012
## [32,] 1.135636716 -0.4148927197 -1.304990553 0.638676216 0.2022641052
## [33,] 0.828808911 -0.6314252501 -0.319879928 -0.179981187 -0.9960511402
## [34,] -1.045951865 0.0668733975 -0.398041733 0.851525389 -0.2799188786
## [35,] 0.009148572 0.9825179146 -0.693330830 0.687387035 -0.9228988259
## [36,] 0.003684991 -0.4452323697 0.131529168 0.435770915 -0.5539587221
## [37,] -1.864892347 -0.2768934238 -1.318510710 -1.321186730 -0.2473171349
## [38,] -0.021480573 -0.3037972350 -0.919328509 1.015139336 -1.1288114460
## [39,] -1.480099028 0.0080071951 -0.864049795 -0.975689884 -0.4962413909
## [40,] -1.149182018 0.1416856598 -0.300607468 -0.552503014 -0.3531137163
## [41,] 0.806124346 -0.1179494334 0.638998799 0.611840391 0.4739033034
## [42,] 2.023023934 -0.1990796775 -0.721549002 -0.445591628 -0.3057797375
## [43,] 0.118601406 1.1488752332 1.127125769 -0.819164504 2.0210436648
## [44,] 0.370000163 -0.3286131012 -0.391529217 -0.756123983 0.9131450099
## [45,] -1.614973464 -1.2134306509 1.337189896 0.479254455 -0.7940825244
## [46,] -0.822660699 -0.5381476425 1.351054267 -0.871938739 0.2867008044
## [47,] -0.825820015 -1.4698517789 -1.565778171 -0.912485003 -1.6294596013
## [48,] -1.665852215 0.3708029720 0.525802391 0.726885898 0.2313883640
## [49,] 1.008512627 -0.1394632519 -0.443699967 0.933724085 1.2044084929
## [50,] 0.400890266 -0.8467778863 1.276292343 -0.515240987 0.6590492803
## [51,] -0.203704842 0.7304241801 -0.305652649 0.014290211 1.4018728347
## [52,] 1.318968269 1.2676593358 -0.089367897 -2.200932157 -0.0105380974
## [53,] -0.471740318 0.0747768687 0.312992783 1.462436004 -0.3283840429
## [54,] -0.248509625 -0.7626119578 1.151848027 0.102037854 -1.1656168492
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## [257,] 0.099230582 0.0633414172 -0.089809685 -0.030062396 0.1705910065
## [258,] -0.814719325 0.3554712920 -0.482169057 0.167179178 -0.3464488494
## [259,] 0.827465657 -0.2784515308 0.408041681 0.443426503 0.6190726633
## [260,] 1.969911006 0.1981480175 -0.131559676 -0.025757074 -0.6685676214
## [261,] 0.120692741 1.5520772439 1.851214993 -0.252163607 1.6108503758
## [262,] 0.382435126 -0.0915046435 0.031776181 -0.399960814 0.6689254912
## [263,] -1.094660807 0.5313274642 -0.723942851 0.793217363 -0.4923627949
## [264,] 0.077558875 1.0730493255 -0.864140025 -0.451585611 -0.3669914933
## [265,] -0.792476333 -0.1982225738 0.358157169 -0.161823863 0.5066678723
## [266,] 1.553818534 -0.4152766906 -0.754771835 0.100342799 -0.0263940820
## [267,] 0.786240415 0.5920760463 -0.296554785 0.146965215 0.8331283743
## [268,] -0.077097448 -0.1064969348 0.735943782 -0.312441464 -0.3501374412
## [269,] -0.507108198 -0.1399924983 1.449425933 -0.110453136 -0.6621996038
## [270,] 0.040436218 0.8904793243 1.394424602 0.565017503 -0.5631495248
## [271,] 0.271097474 -0.1892803429 -0.938504400 0.190741482 0.2747592430
## [272,] 0.074050682 0.1269508821 -0.024944975 -0.003253330 0.1234850640
## [273,] -0.931853006 1.0078033725 0.209204840 0.739747383 -0.8785993809
## [274,] 0.836197278 0.0005452163 -0.200324353 -0.003385652 -0.5181722760
## [275,] -0.841050307 -1.1692393307 -0.517406569 -0.715403414 0.1361235206
## [276,] -0.983023515 -0.1041939949 1.271501292 -0.181852971 -0.2020560780
## [277,] -0.801581787 -0.5012883274 1.399310331 -0.619467237 0.3217333923
## [278,] 0.235167642 0.0761654172 -0.868124389 -0.030755816 0.1837052038
## [279,] 0.259645931 -0.7659212831 -0.171331327 -0.771443767 0.2503776820
## [280,] 0.386626612 0.0020122656 -1.394599751 0.535355543 -0.6125133511
## [281,] 0.802480244 -0.1790725087 -0.588888791 -0.368026445 -0.1555218514
## [282,] 0.482401592 0.8485498995 -0.439878351 0.187371367 -0.9810781952
## [283,] 0.133037414 0.6534827324 -1.212225499 0.499259150 -0.6413672907
## [284,] 0.406502194 0.7165172399 0.480778116 0.925558289 0.1639291407
## [285,] -0.857974639 -0.6741941727 0.840754566 -0.600815722 0.2219338890
## [286,] 0.038978935 -0.7220043659 0.586611893 0.752720450 -0.5492553667
## [287,] 0.400500823 -0.3586637134 -0.511835579 -0.069931664 0.3513372646
## [288,] 0.822793804 -1.1842067114 -0.215174410 -0.208041555 0.5787408975
## [289,] 0.367378840 0.0070424388 -1.070586440 0.564778180 -0.6732674459
## [290,] 0.707731574 0.3200376804 -0.202871587 0.031149299 -0.5331046573
## [291,] -0.081437579 0.6813613159 0.423020726 0.339802365 -0.2840377311
## [292,] -0.448238235 0.5883060329 0.080163844 -0.336205536 -0.5854681151
## [293,] 1.782082642 -0.8786251058 0.424369024 0.453352217 0.1686013563
## [294,] 0.262999653 2.5161366718 0.184353081 1.516995025 -0.0388854969
## [295,] -1.028991209 -0.2410878726 -0.813808730 -0.445286831 -0.2550268203
## [296,] -0.767768447 -0.1184498761 -0.336592138 0.625874697 1.2319341578
## [297,] 0.424298678 -0.1658003787 0.354749610 -0.877756151 0.6822191559
## [298,] -0.583145614 -0.3361529386 0.012495691 -1.390367906 -0.1025393108
## [299,] -0.021967799 -0.5455360842 -0.094936125 -0.461983720 1.6215068235
## [300,] 1.938133198 -0.6013023488 -0.357609883 -1.101025575 -0.7146842916
## [301,] -0.568533563 -0.1138279703 -0.613242911 -0.355154778 -0.0453825308
## [302,] 0.737361526 0.1736037657 -0.361233504 0.692900730 -0.0526630204
## [303,] -0.126718864 -0.2544281997 0.408186660 0.192943852 -0.2835720653
## [304,] -0.061479981 0.4313114021 0.099934079 -0.890448988 0.4808252877
## [305,] 0.093734175 -1.8826517649 1.632717238 1.431294242 -0.4038404559
## [306,] 0.087368328 -0.0350587299 -0.772962725 -0.292136488 0.3733408245
## [307,] -0.674268055 -0.2830235204 -1.093907597 -0.326910311 0.1536629841
## [308,] 0.814679485 -0.1524666351 0.681117266 0.601996141 0.4859256479
## [309,] 1.875453301 0.5883067607 0.490080068 0.307284192 -1.0199760971
## PC16 PC17
## [1,] -0.204699168 0.399778790
## [2,] 0.045288943 0.292915024
## [3,] -0.271595154 -0.814045516
## [4,] -0.371673537 1.078203419
## [5,] 0.734034423 0.516096799
## [6,] 0.370839736 0.464690533
## [7,] -0.322143489 0.050306784
## [8,] 0.531051672 0.194644777
## [9,] -1.124665269 -0.473960208
## [10,] 0.076492553 0.033336741
## [11,] -0.534141622 -0.128982341
## [12,] 0.084037407 -0.456830857
## [13,] 0.189629446 0.456895464
## [14,] -0.016716439 -0.021511422
## [15,] 0.006422442 -0.329564249
## [16,] -0.225723824 -0.788232416
## [17,] 0.487690414 -0.355745563
## [18,] -0.216253994 0.281111017
## [19,] -0.357368372 -0.574817902
## [20,] -0.121585264 0.153361961
## [21,] -0.325279346 0.341539699
## [22,] -0.249217026 -0.517074387
## [23,] -0.474336582 0.001382573
## [24,] 0.020601136 -0.029383874
## [25,] -0.421748563 -0.176386698
## [26,] -0.375057468 0.459319241
## [27,] 0.157050749 1.283191589
## [28,] 0.172160415 -1.177121386
## [29,] 0.840632915 0.308201578
## [30,] 0.546906491 0.990041317
## [31,] 1.833637726 0.602301402
## [32,] 0.899009190 -0.685671003
## [33,] 0.778795299 0.192681525
## [34,] 0.282663097 0.192190653
## [35,] -0.281726780 -0.102251797
## [36,] 0.404702630 0.315448071
## [37,] 0.252701007 -0.080408534
## [38,] 0.835870432 -0.173405499
## [39,] 0.794453324 -0.901139864
## [40,] -0.664108490 -0.302257112
## [41,] -0.699334673 -0.772619337
## [42,] 0.302214498 0.526431365
## [43,] 0.215644055 0.008363015
## [44,] 1.218170500 -0.374050417
## [45,] -0.107189826 1.558186080
## [46,] -0.014697978 -0.110994738
## [47,] -0.314501834 1.085094010
## [48,] -0.453323188 1.568209576
## [49,] 0.371135730 -0.880906339
## [50,] 0.038378647 -1.504845090
## [51,] -0.190277899 -0.215343711
## [52,] 0.571180847 -0.485102183
## [53,] -0.795216391 0.307609636
## [54,] 0.101171607 -0.457206584
## [55,] -0.836682394 1.227393045
## [56,] -0.761838666 0.044936466
## [57,] -0.093377912 0.519556971
## [58,] -0.085545972 0.334201010
## [59,] 0.820792154 0.214839663
## [60,] 0.108966172 -0.162975362
## [61,] -0.542958636 1.037635542
## [62,] -1.090814185 -0.173869707
## [63,] 0.397950756 0.601928262
## [64,] -0.286457614 -0.316048608
## [65,] 1.423427877 0.100505316
## [66,] -1.311470262 -0.340525215
## [67,] -0.360979053 0.384060109
## [68,] 0.046545960 0.364930671
## [69,] 0.851869088 0.039331283
## [70,] 0.125575693 0.027204718
## [71,] 0.339668208 0.511883358
## [72,] 0.135095885 -0.227962988
## [73,] -0.161028009 -0.359990351
## [74,] -0.151488592 0.364242693
## [75,] 0.032547772 -0.019961277
## [76,] -0.125258951 -0.040086038
## [77,] -0.314385878 -0.543428311
## [78,] -0.335717440 0.228175597
## [79,] 0.400994735 -0.072763914
## [80,] -0.528254127 0.151448992
## [81,] 0.139513375 0.283297565
## [82,] -0.005952746 0.259756203
## [83,] 0.220449326 0.205910512
## [84,] 0.821389639 -0.280463409
## [85,] -0.616768168 -0.143967535
## [86,] 0.587250538 0.095098054
## [87,] -0.057818756 -0.333248457
## [88,] -0.618241629 0.030801222
## [89,] 0.262114853 0.284029297
## [90,] -0.441595058 0.570186068
## [91,] 0.546853402 0.247395413
## [92,] -0.954452414 -0.237225566
## [93,] -0.690367526 0.648356547
## [94,] 1.196418062 -0.755162981
## [95,] -1.025634831 0.626103061
## [96,] -0.491732734 -0.231372581
## [97,] 0.162249355 0.180426095
## [98,] 0.601243917 -0.104024116
## [99,] -1.217306954 -0.042251874
## [100,] 0.210795257 -0.266528766
## [101,] 0.009178791 -0.140306083
## [102,] -0.239832184 -0.505299089
## [103,] -0.001081145 0.061331010
## [104,] 0.225753874 0.024185581
## [105,] -0.423907862 0.044826848
## [106,] -0.049813183 0.066391359
## [107,] 0.144666199 0.249381777
## [108,] 0.288291683 0.147150980
## [109,] 0.683932546 -0.766405649
## [110,] -0.165238363 0.413606088
## [111,] -0.311500803 0.275308649
## [112,] 0.470357058 0.841243335
## [113,] 0.222169322 -1.078565979
## [114,] -0.168079224 0.872922772
## [115,] 0.877633521 1.155793976
## [116,] 0.248481964 0.515447773
## [117,] -0.215599949 0.058770936
## [118,] 0.514993586 0.210590031
## [119,] -0.226150793 -0.086942561
## [120,] 0.289380434 0.313280968
## [121,] 0.215127207 -0.235851294
## [122,] 0.018379895 -0.540713487
## [123,] -0.445011923 -1.187395940
## [124,] -0.197477228 0.266806473
## [125,] -0.289242777 -0.037798448
## [126,] -0.565139828 -0.738008042
## [127,] -0.159623044 -0.074763111
## [128,] 0.075685920 0.058279950
## [129,] -0.639909303 0.323712286
## [130,] 0.029766279 0.032157735
## [131,] 0.251431807 0.393080370
## [132,] 0.099890861 -0.888438144
## [133,] 0.278208194 0.028194637
## [134,] -0.035768643 0.342225755
## [135,] -0.465900314 -0.053961025
## [136,] -0.579918745 -0.349760333
## [137,] 0.000772863 0.151658109
## [138,] 0.209223668 -1.243826974
## [139,] 0.869070173 0.233877079
## [140,] 0.805399365 0.872283165
## [141,] 0.341425105 0.022592252
## [142,] -0.684397168 -0.936264140
## [143,] 0.869141848 -0.006288726
## [144,] -0.404210072 -0.522821842
## [145,] 0.676296036 -0.021386986
## [146,] 0.152334617 -0.236617040
## [147,] 0.100548266 0.546407053
## [148,] -0.614292886 0.646342147
## [149,] 0.157997524 0.030636773
## [150,] -0.396764299 -0.190573406
## [151,] -0.644069677 -0.846298375
## [152,] 0.284353292 0.503158969
## [153,] 0.173424869 0.019842343
## [154,] 0.044405912 -0.388242074
## [155,] 0.824834606 0.325438074
## [156,] 0.121962865 -0.861216712
## [157,] -0.442513188 0.702610115
## [158,] 0.793495320 0.334082201
## [159,] 0.447669504 -1.216843843
## [160,] 0.090886418 -1.371108370
## [161,] -0.438017503 0.002962693
## [162,] 0.541409695 -0.450589729
## [163,] -0.820401346 0.677621810
## [164,] 0.226252313 -0.216161914
## [165,] -0.677481397 1.415588471
## [166,] -0.583691233 0.119191040
## [167,] 0.293109180 0.174793193
## [168,] -0.203669862 0.239594626
## [169,] 0.743351273 0.219123542
## [170,] 0.130802257 -0.400058587
## [171,] -0.410579567 0.611738612
## [172,] -1.026212619 -0.272878294
## [173,] 0.242101208 0.488238862
## [174,] -0.288948646 -0.279987488
## [175,] 1.601354083 -0.114113845
## [176,] -1.520591312 -0.365248874
## [177,] -0.085103098 0.421068268
## [178,] 0.047903515 0.346408715
## [179,] 0.290577969 0.257721538
## [180,] 0.058594121 -0.016260362
## [181,] 0.351179366 0.395519794
## [182,] 0.067019098 0.018984832
## [183,] 0.069867765 -0.454941763
## [184,] 0.068081891 0.334040887
## [185,] -0.180412417 0.376233283
## [186,] -0.039127144 0.230944364
## [187,] -0.461598407 -0.299418857
## [188,] -0.863571623 0.415674312
## [189,] 0.164826381 -0.745791996
## [190,] 0.055938829 -0.226902271
## [191,] -1.130935409 0.447494847
## [192,] -0.780931794 -0.127862513
## [193,] -0.218573295 -0.492468351
## [194,] -0.164408869 -0.368908455
## [195,] -0.723395579 0.067538846
## [196,] 0.685196206 0.204171257
## [197,] 0.169355098 -0.549958598
## [198,] -0.769993878 0.122808536
## [199,] 0.128325234 0.614367708
## [200,] -0.115885447 0.264880595
## [201,] 0.569809145 0.268030342
## [202,] -1.012129894 -0.350160623
## [203,] -0.449618464 0.852052206
## [204,] 1.060227957 -0.534824136
## [205,] -0.614394865 0.846168128
## [206,] -0.773683331 0.063697140
## [207,] 0.510641502 0.044842721
## [208,] 0.539028601 -0.851370448
## [209,] -1.093386790 -0.122726928
## [210,] -0.155246654 0.001096426
## [211,] -0.194613598 -0.072297240
## [212,] -0.321072705 -0.504598778
## [213,] 0.179998006 -0.184224234
## [214,] 0.259444768 0.009943970
## [215,] -0.780618138 0.139516314
## [216,] -0.198320989 0.234820841
## [217,] 0.268641865 0.234126153
## [218,] 0.453731649 -0.077289733
## [219,] 1.088579218 -0.729502626
## [220,] -0.676442863 0.168806418
## [221,] 0.347355852 -1.056801166
## [222,] -0.165990170 -1.283069689
## [223,] 0.332638512 -0.293672149
## [224,] 0.795452124 -0.679781217
## [225,] -0.988260241 0.662611902
## [226,] 0.110787399 -0.291810588
## [227,] -0.252893278 0.923464117
## [228,] -0.433616613 0.144755671
## [229,] 0.066773967 0.275017663
## [230,] 0.063241523 -0.101200129
## [231,] 1.179012497 0.462607684
## [232,] -0.019352945 -0.148293626
## [233,] -0.615282088 0.926318797
## [234,] -0.681058673 -0.744278153
## [235,] 0.786713435 0.356755296
## [236,] -0.374744887 -0.315348333
## [237,] 1.269945960 0.064941224
## [238,] -1.574325649 -0.425168932
## [239,] -0.740202720 0.388446323
## [240,] -0.117226699 -0.428558305
## [241,] 0.955826543 -0.268608022
## [242,] -0.232986784 0.174246513
## [243,] -0.030911579 -0.178010067
## [244,] -1.116037385 -0.443587411
## [245,] 0.040368748 0.267750892
## [246,] 1.404264474 -1.478292614
## [247,] 0.978839680 0.483021714
## [248,] 0.603511293 1.157426119
## [249,] 0.692486224 0.040663628
## [250,] -0.722358199 -0.980492359
## [251,] 0.905558470 0.015177064
## [252,] -0.818092266 -0.133033980
## [253,] 0.321527445 -0.257408901
## [254,] -0.070998352 0.016638914
## [255,] 0.637360258 0.497985009
## [256,] -0.183950774 0.629102932
## [257,] 0.001359994 -0.002573657
## [258,] -0.199281757 -0.231513525
## [259,] -0.767591488 -0.674397629
## [260,] 0.473512663 0.278870895
## [261,] 0.279643315 -0.373044027
## [262,] 1.231233143 -0.616917441
## [263,] 1.196629303 0.206480172
## [264,] 0.154833871 0.622433628
## [265,] -0.106378218 0.206223917
## [266,] 0.516903811 0.396282048
## [267,] -1.619758037 -0.272082445
## [268,] 0.326323508 -0.089511243
## [269,] -0.174273385 -0.580481396
## [270,] 0.117172450 -0.841650045
## [271,] 0.058390380 0.788983893
## [272,] 0.062226434 -0.005549539
## [273,] 0.120922819 -0.511551264
## [274,] -0.104788706 -0.658045736
## [275,] 0.155305470 -0.417142635
## [276,] 0.258037515 0.001018338
## [277,] -0.471111047 -0.560894424
## [278,] -0.009003091 0.546602298
## [279,] 0.087872999 0.607421705
## [280,] -0.181710770 -0.644080424
## [281,] -0.184704565 0.404085944
## [282,] 0.381975583 -0.300021491
## [283,] -0.599984450 -0.026298504
## [284,] -0.130302106 0.170677295
## [285,] -0.054769022 0.159784347
## [286,] -0.357835410 0.115076387
## [287,] -0.335197519 0.362168104
## [288,] 0.068117172 0.532982330
## [289,] -0.109459288 -0.700975579
## [290,] 0.057996353 0.237331002
## [291,] 0.442745185 -0.109642684
## [292,] -0.638324403 0.131842402
## [293,] -0.586836031 -0.339105240
## [294,] 0.622801658 -0.405256743
## [295,] 0.146444590 -1.191554915
## [296,] 0.643560584 0.500112321
## [297,] 0.473122824 1.188323428
## [298,] 0.244203227 0.124670211
## [299,] -0.932773979 -0.723538859
## [300,] 0.720091571 0.108483530
## [301,] -0.501085666 -0.447556210
## [302,] 0.718340959 -0.098268391
## [303,] 0.109617474 -0.207952469
## [304,] 0.030515055 0.610897882
## [305,] -0.400852865 0.425130764
## [306,] -0.037178820 0.247090067
## [307,] -0.562633443 -0.019336438
## [308,] -0.714004235 -0.783153726
## [309,] 0.737576367 0.096973111
plot(cancer_pca)
#get the original value of the data based on PCA
center <- cancer_pca$center
scale <- cancer_pca$scale
new_cancer <- as.matrix(cancer[,-1])
new_cancer
## GENDER AGE SMOKING YELLOW_FINGERS ANXIETY PEER_PRESSURE CHRONIC DISEASE
## [1,] 1 69 1 2 2 1 1
## [2,] 1 74 2 1 1 1 2
## [3,] 2 59 1 1 1 2 1
## [4,] 1 63 2 2 2 1 1
## [5,] 2 63 1 2 1 1 1
## [6,] 2 75 1 2 1 1 2
## [7,] 1 52 2 1 1 1 1
## [8,] 2 51 2 2 2 2 1
## [9,] 2 68 2 1 2 1 1
## [10,] 1 53 2 2 2 2 2
## [11,] 2 61 2 2 2 2 2
## [12,] 1 72 1 1 1 1 2
## [13,] 2 60 2 1 1 1 1
## [14,] 1 58 2 1 1 1 1
## [15,] 1 69 2 1 1 1 1
## [16,] 2 48 1 2 2 2 2
## [17,] 1 75 2 1 1 1 2
## [18,] 1 57 2 2 2 2 2
## [19,] 2 68 2 2 2 2 2
## [20,] 2 61 1 1 1 1 2
## [21,] 2 44 2 2 2 2 2
## [22,] 2 64 1 2 2 2 1
## [23,] 2 21 2 1 1 1 2
## [24,] 1 60 2 1 1 1 1
## [25,] 1 72 2 2 2 2 2
## [26,] 1 65 1 2 2 1 1
## [27,] 2 61 2 2 2 1 1
## [28,] 1 69 1 1 1 2 1
## [29,] 2 53 2 2 2 1 2
## [30,] 1 55 1 2 1 1 1
## [31,] 2 57 2 2 1 1 1
## [32,] 1 62 2 1 2 1 1
## [33,] 1 56 2 2 2 1 1
## [34,] 2 67 2 2 2 1 2
## [35,] 1 59 1 2 2 1 1
## [36,] 2 59 2 2 2 1 2
## [37,] 1 60 1 2 1 1 2
## [38,] 2 56 1 1 1 1 2
## [39,] 1 56 2 1 1 1 2
## [40,] 1 60 2 1 1 1 2
## [41,] 1 68 2 1 2 1 1
## [42,] 1 63 1 1 1 2 1
## [43,] 2 77 1 2 2 2 2
## [44,] 1 52 2 1 1 2 1
## [45,] 2 70 2 2 1 2 2
## [46,] 1 72 2 2 2 2 2
## [47,] 1 62 2 2 1 1 2
## [48,] 2 64 2 2 1 2 1
## [49,] 2 70 1 1 2 2 2
## [50,] 1 60 1 1 2 2 2
## [51,] 2 56 1 1 1 2 2
## [52,] 1 63 2 2 2 1 2
## [53,] 2 54 2 1 1 2 1
## [54,] 1 49 2 1 1 2 2
## [55,] 2 57 1 2 1 2 2
## [56,] 1 52 1 2 2 1 2
## [57,] 2 63 1 2 1 2 1
## [58,] 1 73 1 1 1 1 2
## [59,] 1 47 1 2 1 2 2
## [60,] 1 69 2 2 2 2 1
## [61,] 1 70 1 2 1 2 2
## [62,] 2 60 1 2 2 1 1
## [63,] 1 70 1 2 1 2 1
## [64,] 2 68 1 1 2 1 2
## [65,] 1 74 1 2 1 2 1
## [66,] 2 71 2 2 2 2 2
## [67,] 2 56 1 2 1 1 2
## [68,] 1 66 2 1 1 1 1
## [69,] 2 76 2 2 2 2 1
## [70,] 2 78 2 2 2 2 1
## [71,] 1 68 2 2 2 2 1
## [72,] 2 66 2 2 2 2 1
## [73,] 1 67 1 1 1 1 2
## [74,] 2 60 2 1 1 1 2
## [75,] 1 61 2 1 1 1 1
## [76,] 1 58 2 1 1 1 1
## [77,] 2 76 1 2 2 2 2
## [78,] 1 56 2 1 1 1 1
## [79,] 1 67 2 2 2 2 2
## [80,] 2 73 2 2 2 2 1
## [81,] 2 58 1 1 1 1 1
## [82,] 2 54 2 2 2 2 2
## [83,] 2 62 2 2 2 2 2
## [84,] 2 81 1 1 1 2 2
## [85,] 1 56 1 1 1 1 2
## [86,] 1 60 1 2 2 1 1
## [87,] 1 66 1 2 2 1 2
## [88,] 1 62 1 2 2 1 1
## [89,] 2 62 2 2 2 1 2
## [90,] 2 55 2 1 1 2 2
## [91,] 2 62 1 1 1 2 1
## [92,] 2 71 1 1 1 1 2
## [93,] 1 52 2 1 1 1 2
## [94,] 2 59 1 2 2 2 2
## [95,] 1 48 2 1 1 1 2
## [96,] 1 60 1 2 2 2 1
## [97,] 2 61 2 2 2 1 1
## [98,] 1 59 2 1 1 2 1
## [99,] 1 64 1 2 2 2 1
## [100,] 1 56 2 1 1 1 1
## [101,] 1 58 2 1 1 1 1
## [102,] 2 81 1 2 2 2 2
## [103,] 1 64 2 1 1 1 1
## [104,] 1 62 2 2 2 2 2
## [105,] 2 72 2 2 2 2 1
## [106,] 2 60 1 1 1 1 2
## [107,] 2 61 2 2 2 2 2
## [108,] 2 60 2 2 2 2 2
## [109,] 2 49 1 1 1 2 2
## [110,] 1 53 1 1 1 1 2
## [111,] 1 58 1 2 2 1 1
## [112,] 1 61 2 2 2 1 1
## [113,] 2 68 1 1 1 2 1
## [114,] 1 60 2 2 2 1 1
## [115,] 2 72 1 2 1 1 1
## [116,] 2 72 1 2 1 1 2
## [117,] 1 57 2 1 1 1 1
## [118,] 2 51 2 2 2 2 1
## [119,] 2 54 2 2 2 2 1
## [120,] 2 56 1 2 2 2 1
## [121,] 1 77 2 2 2 2 1
## [122,] 1 64 1 1 1 1 2
## [123,] 1 57 2 1 2 1 2
## [124,] 2 66 2 2 2 1 2
## [125,] 1 70 2 1 1 1 1
## [126,] 2 53 1 2 2 2 2
## [127,] 1 51 2 1 1 1 1
## [128,] 1 58 2 2 2 2 2
## [129,] 2 58 2 2 2 2 1
## [130,] 2 63 1 1 1 1 2
## [131,] 2 51 2 2 2 2 1
## [132,] 2 61 1 2 2 2 1
## [133,] 2 61 2 1 1 1 2
## [134,] 1 76 2 1 1 1 1
## [135,] 1 71 2 2 2 1 2
## [136,] 1 69 1 1 2 1 1
## [137,] 2 56 2 2 2 1 1
## [138,] 1 67 1 1 1 2 1
## [139,] 2 54 2 2 2 1 2
## [140,] 1 63 1 2 1 1 1
## [141,] 2 47 2 2 1 2 2
## [142,] 1 62 2 1 2 1 1
## [143,] 1 65 2 2 2 2 1
## [144,] 2 63 2 2 2 2 2
## [145,] 1 64 1 2 2 2 1
## [146,] 2 65 2 2 2 2 1
## [147,] 1 51 1 2 1 1 2
## [148,] 2 56 1 1 1 2 2
## [149,] 1 70 2 1 1 1 1
## [150,] 1 58 2 1 1 1 1
## [151,] 1 67 2 1 2 1 1
## [152,] 1 62 1 1 1 2 1
## [153,] 2 74 1 2 2 2 2
## [154,] 1 69 2 1 1 2 1
## [155,] 2 64 2 2 1 2 2
## [156,] 1 75 2 2 2 2 2
## [157,] 1 47 2 2 1 1 2
## [158,] 2 57 2 2 1 2 1
## [159,] 2 56 1 1 2 2 2
## [160,] 1 68 1 1 2 2 2
## [161,] 2 55 1 1 1 2 2
## [162,] 1 62 2 2 2 1 2
## [163,] 2 73 2 1 1 2 1
## [164,] 1 68 2 1 1 2 2
## [165,] 2 75 1 2 1 2 2
## [166,] 1 63 1 2 2 1 2
## [167,] 2 61 1 2 1 2 1
## [168,] 1 62 1 1 1 1 2
## [169,] 1 44 1 2 1 2 2
## [170,] 1 56 2 2 2 2 1
## [171,] 1 54 1 2 1 2 2
## [172,] 2 57 1 2 2 1 1
## [173,] 1 56 1 2 1 2 1
## [174,] 2 69 1 1 2 1 2
## [175,] 1 72 1 2 1 2 1
## [176,] 2 59 2 2 2 2 2
## [177,] 2 70 1 2 1 1 2
## [178,] 1 64 2 1 1 1 1
## [179,] 2 61 2 2 2 2 1
## [180,] 2 72 2 2 2 2 1
## [181,] 1 63 2 2 2 2 1
## [182,] 2 74 2 2 2 2 1
## [183,] 1 71 1 1 1 1 2
## [184,] 2 71 2 1 1 1 2
## [185,] 1 72 2 1 1 1 1
## [186,] 1 77 2 1 1 1 1
## [187,] 2 72 1 2 2 2 2
## [188,] 1 55 2 1 1 1 1
## [189,] 1 65 2 2 2 2 2
## [190,] 2 67 2 2 2 2 1
## [191,] 2 69 1 1 1 1 2
## [192,] 2 55 2 2 2 2 2
## [193,] 2 51 2 2 2 2 2
## [194,] 2 64 1 1 1 2 2
## [195,] 1 63 1 1 1 1 2
## [196,] 1 69 1 2 2 1 1
## [197,] 1 64 1 2 2 1 2
## [198,] 1 59 1 2 2 1 1
## [199,] 2 73 2 2 2 1 2
## [200,] 2 55 2 1 1 2 2
## [201,] 2 63 1 1 1 2 1
## [202,] 2 60 1 1 1 1 2
## [203,] 1 74 2 1 1 1 2
## [204,] 2 65 1 2 2 2 2
## [205,] 1 79 2 1 1 1 2
## [206,] 1 62 1 2 2 2 1
## [207,] 2 71 2 2 2 1 1
## [208,] 1 63 2 1 1 2 1
## [209,] 1 67 1 2 2 2 1
## [210,] 1 55 2 1 1 1 1
## [211,] 1 54 2 1 1 1 1
## [212,] 2 77 1 2 2 2 2
## [213,] 1 58 2 1 1 1 1
## [214,] 1 64 2 2 2 2 2
## [215,] 2 61 2 2 2 2 1
## [216,] 2 62 1 1 1 1 2
## [217,] 2 67 2 2 2 2 2
## [218,] 2 56 2 2 2 2 2
## [219,] 2 70 1 1 1 2 2
## [220,] 1 70 1 1 1 1 2
## [221,] 2 57 1 1 2 2 2
## [222,] 1 61 1 1 2 2 2
## [223,] 2 77 1 1 1 2 2
## [224,] 1 63 2 2 2 1 2
## [225,] 2 62 2 1 1 2 1
## [226,] 1 59 2 1 1 2 2
## [227,] 2 70 1 2 1 2 2
## [228,] 1 71 1 2 2 1 2
## [229,] 2 56 1 2 1 2 1
## [230,] 1 57 1 1 1 1 2
## [231,] 1 78 1 2 1 2 2
## [232,] 1 64 2 2 2 2 1
## [233,] 1 62 1 2 1 2 2
## [234,] 2 49 1 2 2 1 1
## [235,] 1 77 1 2 1 2 1
## [236,] 2 64 1 1 2 1 2
## [237,] 1 63 1 2 1 2 1
## [238,] 2 54 2 2 2 2 2
## [239,] 2 38 1 2 1 1 2
## [240,] 2 75 1 2 2 2 1
## [241,] 2 70 2 1 1 2 2
## [242,] 1 59 2 1 1 1 1
## [243,] 1 77 2 2 2 1 2
## [244,] 1 61 1 1 2 1 2
## [245,] 2 64 2 2 2 1 1
## [246,] 1 59 1 1 1 2 1
## [247,] 2 71 2 2 2 1 2
## [248,] 1 67 1 2 1 1 1
## [249,] 2 64 2 2 1 2 2
## [250,] 1 68 2 1 2 1 1
## [251,] 1 69 2 2 2 2 1
## [252,] 2 64 2 2 2 2 2
## [253,] 1 59 1 2 2 2 2
## [254,] 2 67 2 2 2 2 1
## [255,] 1 74 1 2 1 1 2
## [256,] 2 77 1 1 1 2 2
## [257,] 1 60 2 1 1 1 1
## [258,] 1 64 2 1 1 1 1
## [259,] 1 70 2 1 2 1 1
## [260,] 1 58 1 1 1 2 1
## [261,] 2 59 1 2 2 2 2
## [262,] 1 39 2 1 1 2 1
## [263,] 2 67 1 2 1 1 1
## [264,] 2 71 1 2 1 1 2
## [265,] 1 70 2 1 1 1 1
## [266,] 2 60 2 2 2 2 1
## [267,] 2 55 2 1 2 1 1
## [268,] 1 60 2 2 2 2 2
## [269,] 2 55 2 2 2 2 2
## [270,] 1 55 1 1 1 1 2
## [271,] 2 70 2 1 1 1 1
## [272,] 1 63 2 1 1 1 1
## [273,] 1 64 2 1 1 1 1
## [274,] 2 59 1 2 2 2 2
## [275,] 1 56 2 1 1 1 2
## [276,] 1 64 2 2 2 2 2
## [277,] 2 62 2 2 2 2 2
## [278,] 2 87 1 1 1 1 2
## [279,] 2 77 2 2 2 2 2
## [280,] 2 59 1 2 2 2 1
## [281,] 2 59 2 1 1 1 2
## [282,] 1 55 2 1 1 1 1
## [283,] 1 46 1 2 2 1 1
## [284,] 1 60 1 2 2 1 1
## [285,] 1 58 2 2 2 2 2
## [286,] 2 58 2 2 2 2 1
## [287,] 2 63 1 1 1 1 2
## [288,] 2 51 2 2 2 2 1
## [289,] 2 61 1 2 2 2 1
## [290,] 2 61 2 1 1 1 2
## [291,] 1 76 2 1 1 1 1
## [292,] 1 71 2 2 2 1 2
## [293,] 1 69 1 1 2 1 1
## [294,] 2 56 2 2 2 1 1
## [295,] 1 67 1 1 1 2 1
## [296,] 2 54 2 2 2 1 2
## [297,] 1 63 1 2 1 1 1
## [298,] 2 47 2 2 1 2 2
## [299,] 1 62 2 1 2 1 1
## [300,] 1 65 2 2 2 2 1
## [301,] 2 63 2 2 2 2 2
## [302,] 1 64 1 2 2 2 1
## [303,] 2 65 2 2 2 2 1
## [304,] 1 51 1 2 1 1 2
## [305,] 2 56 1 1 1 2 2
## [306,] 1 70 2 1 1 1 1
## [307,] 1 58 2 1 1 1 1
## [308,] 1 67 2 1 2 1 1
## [309,] 1 62 1 1 1 2 1
## FATIGUE ALLERGY WHEEZING ALCOHOL_CONSUMING COUGHING SHORTNESS OF BREATH
## [1,] 2 1 2 2 2 2
## [2,] 2 2 1 1 1 2
## [3,] 2 1 2 1 2 2
## [4,] 1 1 1 2 1 1
## [5,] 1 1 2 1 2 2
## [6,] 2 2 2 1 2 2
## [7,] 2 1 2 2 2 2
## [8,] 2 2 1 1 1 2
## [9,] 2 1 1 1 1 1
## [10,] 1 2 1 2 1 1
## [11,] 2 1 2 1 2 2
## [12,] 2 2 2 2 2 2
## [13,] 2 1 1 1 1 2
## [14,] 2 2 2 2 2 2
## [15,] 1 2 2 2 2 1
## [16,] 2 2 2 1 2 2
## [17,] 1 2 2 2 2 2
## [18,] 1 1 1 2 1 1
## [19,] 2 1 1 1 2 2
## [20,] 2 1 1 1 1 2
## [21,] 2 1 1 1 1 2
## [22,] 1 2 2 1 2 1
## [23,] 2 2 1 1 1 2
## [24,] 2 2 2 2 2 2
## [25,] 1 2 2 2 2 1
## [26,] 2 1 2 2 2 2
## [27,] 2 2 1 2 1 2
## [28,] 2 1 2 1 2 2
## [29,] 1 1 2 2 1 2
## [30,] 2 1 2 2 2 2
## [31,] 1 1 1 1 1 2
## [32,] 1 2 2 2 1 2
## [33,] 1 1 1 1 1 2
## [34,] 1 1 1 1 1 2
## [35,] 1 1 1 1 1 1
## [36,] 1 1 1 1 1 2
## [37,] 1 1 2 1 2 2
## [38,] 1 1 2 1 1 2
## [39,] 1 1 2 1 1 2
## [40,] 1 2 2 2 2 1
## [41,] 2 2 1 2 2 2
## [42,] 2 2 2 2 1 1
## [43,] 2 1 2 2 1 1
## [44,] 2 2 2 2 1 2
## [45,] 1 1 1 2 2 1
## [46,] 2 1 2 2 2 2
## [47,] 1 2 1 1 2 2
## [48,] 2 1 2 2 2 1
## [49,] 2 2 2 2 1 2
## [50,] 1 1 1 2 1 1
## [51,] 2 2 2 2 1 1
## [52,] 2 2 2 1 1 2
## [53,] 2 2 2 2 2 1
## [54,] 2 2 2 2 2 2
## [55,] 2 2 1 2 2 1
## [56,] 1 2 2 2 2 1
## [57,] 2 1 1 1 2 2
## [58,] 1 2 1 2 2 2
## [59,] 2 1 2 1 1 2
## [60,] 2 2 1 2 2 2
## [61,] 2 2 2 2 2 1
## [62,] 1 1 1 1 2 1
## [63,] 2 2 2 2 2 1
## [64,] 1 2 2 2 1 1
## [65,] 2 2 2 2 2 2
## [66,] 2 1 2 1 2 1
## [67,] 2 2 2 1 2 2
## [68,] 2 1 2 2 2 2
## [69,] 2 2 1 1 1 2
## [70,] 2 1 2 1 2 2
## [71,] 1 2 1 2 1 1
## [72,] 2 1 2 1 2 2
## [73,] 2 2 2 2 2 2
## [74,] 2 1 1 1 1 2
## [75,] 2 2 2 2 2 2
## [76,] 1 2 2 2 2 1
## [77,] 2 2 2 1 2 2
## [78,] 2 2 2 2 2 2
## [79,] 1 1 1 2 1 1
## [80,] 2 1 1 1 2 2
## [81,] 2 1 1 1 1 2
## [82,] 2 1 1 1 1 2
## [83,] 1 2 2 2 1 1
## [84,] 1 2 1 2 2 2
## [85,] 2 2 1 2 2 2
## [86,] 1 1 2 2 2 2
## [87,] 1 2 1 2 2 2
## [88,] 2 1 2 1 1 1
## [89,] 1 2 1 2 1 1
## [90,] 2 2 2 2 1 1
## [91,] 1 1 2 2 1 1
## [92,] 2 2 1 1 2 2
## [93,] 2 2 2 2 1 1
## [94,] 1 2 2 2 2 2
## [95,] 2 2 1 2 2 2
## [96,] 2 1 1 1 1 1
## [97,] 1 2 1 2 2 2
## [98,] 1 1 1 2 2 2
## [99,] 2 2 1 1 2 1
## [100,] 2 2 2 2 2 2
## [101,] 1 2 2 2 2 1
## [102,] 2 2 2 1 2 2
## [103,] 2 2 2 2 2 2
## [104,] 1 1 1 2 1 1
## [105,] 2 1 1 1 2 2
## [106,] 2 1 1 1 1 2
## [107,] 2 1 1 1 1 2
## [108,] 1 2 2 2 1 1
## [109,] 1 2 1 2 2 2
## [110,] 2 2 1 2 1 2
## [111,] 2 1 2 2 2 2
## [112,] 2 2 1 2 1 2
## [113,] 2 1 2 1 2 2
## [114,] 1 1 1 2 1 1
## [115,] 2 1 2 2 2 2
## [116,] 2 2 2 1 2 2
## [117,] 2 1 2 2 2 2
## [118,] 2 2 1 1 1 2
## [119,] 2 1 2 1 2 2
## [120,] 1 2 1 2 1 1
## [121,] 2 1 2 1 2 2
## [122,] 2 2 2 2 2 2
## [123,] 2 1 1 1 1 2
## [124,] 2 2 2 2 2 2
## [125,] 1 2 1 2 2 1
## [126,] 2 2 1 1 2 2
## [127,] 2 1 2 2 2 2
## [128,] 1 1 1 2 1 1
## [129,] 2 1 1 1 2 2
## [130,] 2 1 1 1 1 2
## [131,] 2 1 1 1 1 2
## [132,] 1 2 2 1 2 1
## [133,] 2 2 1 1 1 2
## [134,] 2 2 2 2 2 2
## [135,] 1 2 2 2 2 1
## [136,] 2 1 2 2 2 2
## [137,] 2 2 1 1 1 2
## [138,] 2 1 2 1 2 2
## [139,] 1 1 2 2 1 2
## [140,] 2 1 2 2 2 2
## [141,] 2 2 2 1 2 2
## [142,] 2 1 2 2 2 2
## [143,] 2 2 1 1 1 2
## [144,] 2 2 2 1 2 2
## [145,] 1 2 1 2 1 1
## [146,] 2 1 2 1 2 2
## [147,] 2 2 2 2 2 2
## [148,] 2 1 1 2 2 2
## [149,] 2 2 2 2 2 2
## [150,] 1 2 2 2 2 1
## [151,] 2 2 1 2 2 2
## [152,] 2 2 2 2 1 1
## [153,] 2 1 2 2 1 1
## [154,] 1 1 1 1 1 1
## [155,] 1 1 1 1 1 1
## [156,] 1 1 1 1 1 1
## [157,] 1 1 1 1 1 1
## [158,] 1 1 1 1 1 1
## [159,] 2 2 2 2 1 2
## [160,] 1 1 1 2 1 1
## [161,] 2 2 2 2 1 1
## [162,] 2 2 2 1 1 2
## [163,] 2 2 2 2 2 1
## [164,] 2 2 2 2 2 2
## [165,] 2 2 1 2 2 1
## [166,] 1 2 2 2 2 1
## [167,] 2 1 1 1 2 2
## [168,] 1 2 1 2 2 2
## [169,] 2 1 2 1 1 2
## [170,] 2 2 1 2 2 2
## [171,] 2 2 2 2 2 1
## [172,] 1 1 1 1 2 1
## [173,] 2 2 2 2 2 1
## [174,] 1 2 2 2 1 1
## [175,] 2 2 2 2 2 2
## [176,] 2 1 2 1 2 1
## [177,] 2 2 2 1 2 2
## [178,] 2 1 2 2 2 2
## [179,] 2 2 1 1 1 2
## [180,] 2 1 2 1 2 2
## [181,] 1 2 1 2 1 1
## [182,] 2 1 2 1 2 2
## [183,] 2 2 2 2 2 2
## [184,] 2 1 1 1 1 2
## [185,] 2 2 2 2 2 2
## [186,] 1 2 2 2 2 1
## [187,] 2 1 1 1 1 1
## [188,] 2 1 1 1 1 1
## [189,] 1 1 1 1 1 1
## [190,] 2 1 1 1 1 1
## [191,] 2 1 1 1 1 1
## [192,] 2 1 1 1 1 1
## [193,] 1 1 1 1 1 1
## [194,] 1 1 1 1 1 1
## [195,] 2 2 1 2 2 2
## [196,] 1 1 2 2 2 2
## [197,] 1 2 1 2 2 2
## [198,] 2 1 2 1 1 1
## [199,] 1 2 1 2 1 1
## [200,] 2 2 2 2 1 1
## [201,] 1 1 2 2 1 1
## [202,] 2 2 1 1 2 2
## [203,] 2 2 2 2 1 1
## [204,] 1 2 2 2 2 2
## [205,] 2 2 1 2 2 2
## [206,] 2 1 1 1 1 1
## [207,] 1 2 1 2 2 2
## [208,] 1 1 1 1 2 2
## [209,] 2 2 1 1 2 1
## [210,] 2 2 2 2 2 2
## [211,] 1 2 2 2 2 1
## [212,] 2 2 2 1 2 2
## [213,] 2 2 2 2 2 2
## [214,] 1 1 1 2 1 1
## [215,] 2 1 1 1 2 2
## [216,] 2 1 1 1 1 2
## [217,] 2 1 1 1 1 2
## [218,] 1 2 2 2 1 1
## [219,] 1 2 1 2 2 2
## [220,] 2 2 1 2 2 2
## [221,] 2 2 2 2 1 2
## [222,] 1 1 1 2 1 1
## [223,] 2 2 2 2 1 1
## [224,] 2 2 2 1 1 2
## [225,] 2 2 2 2 2 1
## [226,] 2 2 2 2 2 2
## [227,] 2 2 1 2 2 1
## [228,] 1 2 2 2 2 1
## [229,] 2 1 1 1 2 2
## [230,] 1 2 1 2 2 2
## [231,] 2 1 2 1 1 2
## [232,] 2 2 1 2 2 2
## [233,] 2 2 2 2 2 1
## [234,] 1 1 1 1 2 1
## [235,] 2 2 2 2 2 1
## [236,] 1 2 2 2 1 1
## [237,] 2 2 2 2 2 2
## [238,] 2 1 2 1 2 1
## [239,] 2 2 2 1 2 2
## [240,] 1 2 2 1 2 1
## [241,] 1 2 1 1 1 2
## [242,] 2 2 2 2 2 2
## [243,] 1 2 2 1 1 1
## [244,] 2 1 2 2 2 2
## [245,] 2 2 1 1 1 2
## [246,] 2 1 2 1 1 2
## [247,] 1 1 2 2 1 2
## [248,] 2 1 2 2 2 2
## [249,] 2 2 2 1 2 2
## [250,] 2 1 1 1 1 1
## [251,] 2 2 1 1 1 2
## [252,] 2 2 2 1 2 2
## [253,] 1 2 1 2 1 1
## [254,] 2 1 2 1 2 2
## [255,] 2 2 2 2 2 2
## [256,] 2 1 1 2 2 2
## [257,] 2 2 2 2 2 2
## [258,] 1 2 2 2 2 1
## [259,] 2 2 1 2 2 2
## [260,] 2 2 2 2 1 1
## [261,] 2 1 2 2 1 1
## [262,] 2 2 2 2 1 2
## [263,] 1 1 2 1 2 2
## [264,] 2 2 2 1 2 2
## [265,] 2 1 2 2 2 2
## [266,] 2 2 1 1 1 2
## [267,] 2 1 1 1 1 1
## [268,] 1 2 1 2 1 1
## [269,] 2 1 2 1 2 2
## [270,] 2 2 2 2 2 2
## [271,] 2 1 1 1 1 2
## [272,] 2 2 2 2 2 2
## [273,] 1 2 2 2 2 1
## [274,] 2 2 2 1 2 2
## [275,] 1 2 2 2 2 2
## [276,] 1 1 1 2 1 1
## [277,] 2 1 1 1 2 2
## [278,] 2 1 1 1 1 2
## [279,] 2 1 1 1 1 2
## [280,] 1 2 2 1 2 1
## [281,] 2 2 1 1 1 2
## [282,] 2 2 1 1 1 2
## [283,] 1 1 1 1 1 1
## [284,] 2 1 2 2 2 2
## [285,] 1 1 1 2 1 1
## [286,] 2 1 1 1 2 2
## [287,] 2 1 1 1 1 2
## [288,] 2 1 1 1 1 2
## [289,] 1 2 2 1 2 1
## [290,] 2 2 1 1 1 2
## [291,] 2 2 2 2 2 2
## [292,] 1 2 2 2 2 1
## [293,] 2 1 2 2 2 2
## [294,] 2 2 1 1 1 2
## [295,] 2 1 2 1 2 2
## [296,] 1 1 2 2 1 2
## [297,] 2 1 2 2 2 2
## [298,] 2 2 2 1 2 2
## [299,] 2 1 2 2 2 2
## [300,] 2 2 1 1 1 2
## [301,] 2 2 2 1 2 2
## [302,] 1 2 1 2 1 1
## [303,] 2 1 2 1 2 2
## [304,] 2 2 2 2 2 2
## [305,] 2 1 1 2 2 2
## [306,] 2 2 2 2 2 2
## [307,] 1 2 2 2 2 1
## [308,] 2 2 1 2 2 2
## [309,] 2 2 2 2 1 1
## SWALLOWING DIFFICULTY CHEST PAIN WEIGHT HEIGHT_INCH
## [1,] 2 2 112.99250 65.78331
## [2,] 2 2 136.48730 71.51521
## [3,] 1 2 153.02690 69.39874
## [4,] 2 2 142.33540 68.21660
## [5,] 1 1 144.29710 67.78781
## [6,] 1 1 123.30240 68.69784
## [7,] 1 2 141.49470 69.80204
## [8,] 2 1 136.46230 70.01472
## [9,] 1 1 112.37230 67.90265
## [10,] 2 2 120.66720 66.78236
## [11,] 2 1 127.45160 66.48769
## [12,] 1 2 114.14300 67.62333
## [13,] 1 1 125.61070 68.30248
## [14,] 1 2 122.46180 67.11656
## [15,] 1 2 116.08660 68.27967
## [16,] 2 1 139.99750 71.09160
## [17,] 1 2 129.50230 66.46100
## [18,] 2 2 142.97330 68.64927
## [19,] 1 1 137.90250 71.23033
## [20,] 1 1 124.04490 67.13118
## [21,] 2 1 141.28070 67.83379
## [22,] 2 1 143.53920 68.87881
## [23,] 1 1 97.90191 63.48115
## [24,] 1 2 129.50270 68.42187
## [25,] 2 2 141.85010 67.62804
## [26,] 2 2 129.72440 67.20864
## [27,] 2 2 142.42350 70.84235
## [28,] 1 2 131.55020 67.49434
## [29,] 2 2 108.33240 66.53401
## [30,] 1 1 113.89220 65.44098
## [31,] 1 1 103.30160 69.52330
## [32,] 2 2 120.75360 65.81320
## [33,] 2 1 125.78860 67.81630
## [34,] 2 2 136.22250 70.59505
## [35,] 2 2 140.10150 71.80484
## [36,] 2 1 128.74870 69.20613
## [37,] 1 2 141.79940 66.80368
## [38,] 2 1 121.23190 67.65893
## [39,] 1 2 131.34780 67.80701
## [40,] 1 2 106.71150 64.04535
## [41,] 1 2 124.35980 68.57463
## [42,] 2 1 124.85910 65.18357
## [43,] 1 1 139.67110 69.65814
## [44,] 1 2 137.36960 67.96731
## [45,] 2 1 106.44990 65.98088
## [46,] 2 2 128.76390 68.67249
## [47,] 2 2 145.68370 66.88088
## [48,] 2 2 116.81900 67.69868
## [49,] 2 2 143.62150 69.82117
## [50,] 1 1 134.93250 69.08817
## [51,] 1 2 147.02190 69.91479
## [52,] 1 1 126.32850 67.33182
## [53,] 2 2 125.48390 70.26939
## [54,] 2 2 115.70840 69.10344
## [55,] 1 1 123.48920 65.38356
## [56,] 2 1 147.89260 70.18447
## [57,] 1 2 155.89870 70.40617
## [58,] 2 2 128.07420 66.54376
## [59,] 2 2 119.37010 66.36418
## [60,] 1 2 133.81480 67.53700
## [61,] 2 2 128.73250 66.50418
## [62,] 1 1 137.54530 68.99958
## [63,] 1 1 129.76040 68.30355
## [64,] 2 1 128.82400 67.01255
## [65,] 1 2 135.31650 70.80592
## [66,] 2 2 109.61130 68.21951
## [67,] 1 2 142.46840 69.05914
## [68,] 1 1 132.74900 67.73103
## [69,] 2 2 103.52750 67.21568
## [70,] 2 1 124.72990 67.36763
## [71,] 2 2 129.31370 65.27033
## [72,] 2 1 134.01750 70.84278
## [73,] 1 2 140.39690 69.92442
## [74,] 1 1 102.83510 64.28508
## [75,] 1 2 128.52140 68.24520
## [76,] 1 1 120.29910 66.35708
## [77,] 2 2 138.60360 68.36275
## [78,] 1 2 132.95740 65.47690
## [79,] 2 2 115.62330 69.71947
## [80,] 2 2 122.52400 67.72554
## [81,] 1 1 134.62540 68.63941
## [82,] 2 1 121.89860 66.78405
## [83,] 2 2 155.37670 70.05147
## [84,] 1 1 128.94180 66.27848
## [85,] 1 2 129.10130 69.20198
## [86,] 2 1 139.47330 69.13481
## [87,] 1 2 140.89010 67.36436
## [88,] 2 2 131.59160 70.09297
## [89,] 1 1 121.12320 70.17660
## [90,] 2 2 131.51270 68.22556
## [91,] 2 2 136.54790 68.12932
## [92,] 1 2 141.48960 70.24256
## [93,] 2 2 140.61040 71.48752
## [94,] 2 1 112.14130 69.20477
## [95,] 2 2 133.45700 70.06306
## [96,] 2 2 131.80010 70.55703
## [97,] 1 2 120.02850 66.28644
## [98,] 1 1 123.09720 63.42577
## [99,] 2 1 128.14320 66.76711
## [100,] 1 2 115.47590 68.88741
## [101,] 1 1 102.09270 64.87434
## [102,] 2 2 130.35300 67.09272
## [103,] 1 2 134.18420 68.34761
## [104,] 2 2 98.64133 65.61073
## [105,] 2 2 114.55990 67.75551
## [106,] 1 1 123.49170 68.02120
## [107,] 2 1 123.04800 67.66193
## [108,] 2 2 126.47720 66.31460
## [109,] 1 1 128.41700 69.43706
## [110,] 1 2 127.19410 63.83624
## [111,] 2 2 122.05620 67.72277
## [112,] 2 2 127.60640 70.05098
## [113,] 1 2 131.64230 70.18602
## [114,] 2 2 111.89550 65.94588
## [115,] 1 1 122.03900 70.00700
## [116,] 1 1 128.55470 68.61129
## [117,] 1 2 132.67920 68.80817
## [118,] 2 1 136.06320 69.76212
## [119,] 2 1 115.94030 65.45539
## [120,] 2 2 136.90410 68.82534
## [121,] 2 1 119.88040 65.80030
## [122,] 1 2 109.00550 67.21474
## [123,] 1 1 128.27050 69.42021
## [124,] 1 1 135.29130 68.94396
## [125,] 1 2 106.85580 67.94150
## [126,] 1 1 123.29390 65.62506
## [127,] 1 2 109.51430 66.49607
## [128,] 2 2 119.30870 67.92809
## [129,] 2 1 140.24020 68.89415
## [130,] 1 1 133.98410 70.24100
## [131,] 2 1 132.58070 68.26623
## [132,] 2 1 130.69880 71.23161
## [133,] 1 1 115.56370 69.09747
## [134,] 1 2 123.79410 64.39693
## [135,] 2 2 128.14270 71.09585
## [136,] 2 1 135.96460 68.21868
## [137,] 1 2 116.62730 65.91721
## [138,] 1 2 126.82410 67.43690
## [139,] 2 2 151.39130 73.90107
## [140,] 1 1 130.40220 69.98149
## [141,] 1 1 136.20680 69.51862
## [142,] 1 2 113.39890 65.18437
## [143,] 2 1 125.32870 68.00869
## [144,] 2 2 127.58460 68.33840
## [145,] 2 2 107.15640 65.18417
## [146,] 2 1 116.45880 68.26209
## [147,] 1 2 133.84020 68.56865
## [148,] 2 1 112.89010 64.49675
## [149,] 1 2 130.75680 68.71053
## [150,] 1 2 137.75710 68.89148
## [151,] 1 2 125.40360 69.54011
## [152,] 2 1 138.46590 67.39964
## [153,] 1 1 120.81840 66.47521
## [154,] 1 2 140.15390 66.01217
## [155,] 1 1 136.73970 72.44434
## [156,] 1 2 106.11390 64.12642
## [157,] 1 2 158.95620 70.98112
## [158,] 1 2 108.78680 67.50124
## [159,] 2 2 138.77580 72.01515
## [160,] 1 1 115.91360 65.31143
## [161,] 1 2 146.29220 67.07509
## [162,] 1 1 109.87650 64.39148
## [163,] 2 2 139.04990 69.37003
## [164,] 2 2 119.90010 68.37921
## [165,] 1 1 128.30690 65.31018
## [166,] 2 1 127.24280 67.13690
## [167,] 1 2 115.23060 68.39468
## [168,] 2 2 124.79750 66.29180
## [169,] 2 2 126.95110 67.18660
## [170,] 1 2 111.27110 65.99156
## [171,] 2 2 122.60890 69.43393
## [172,] 1 1 124.20840 67.97463
## [173,] 1 1 124.64530 67.76133
## [174,] 2 1 119.51690 65.27864
## [175,] 1 2 139.29830 73.83364
## [176,] 2 2 104.82650 66.81312
## [177,] 1 2 123.04240 66.89411
## [178,] 1 1 118.89230 65.73568
## [179,] 2 2 121.49390 65.98283
## [180,] 2 1 119.24880 66.58396
## [181,] 2 2 135.02390 67.11294
## [182,] 2 1 116.22800 65.87481
## [183,] 1 2 109.17310 66.78067
## [184,] 1 1 124.22370 68.73577
## [185,] 1 2 141.16450 66.22666
## [186,] 1 1 129.15010 65.95968
## [187,] 1 1 127.86930 68.58372
## [188,] 1 1 120.92440 66.59347
## [189,] 1 1 127.64660 66.96574
## [190,] 1 1 101.46930 68.08015
## [191,] 1 1 144.99270 70.19025
## [192,] 1 1 110.95230 65.52149
## [193,] 1 1 132.86250 67.45905
## [194,] 1 1 146.33850 67.40985
## [195,] 1 2 145.58940 69.66158
## [196,] 2 1 120.84310 65.79799
## [197,] 1 2 115.78130 66.10558
## [198,] 2 2 128.30190 68.23987
## [199,] 1 1 127.47180 68.02403
## [200,] 2 2 127.87610 71.39044
## [201,] 2 2 121.49970 65.73160
## [202,] 1 2 112.71480 66.43358
## [203,] 2 2 135.00200 70.01309
## [204,] 2 1 128.67890 69.48146
## [205,] 2 2 124.40620 68.62764
## [206,] 2 2 140.02600 68.36275
## [207,] 1 2 117.51900 68.39028
## [208,] 1 1 143.87370 68.77413
## [209,] 2 1 141.17030 69.92360
## [210,] 1 2 155.94140 71.55542
## [211,] 1 1 134.00930 68.44764
## [212,] 2 2 130.09750 66.71398
## [213,] 1 2 106.22650 66.68413
## [214,] 2 2 112.04890 67.93699
## [215,] 2 2 136.18840 68.89855
## [216,] 1 1 131.23600 67.29191
## [217,] 2 1 131.32310 69.57212
## [218,] 2 2 119.52610 67.67479
## [219,] 1 1 116.99650 69.04155
## [220,] 1 2 138.52550 67.96765
## [221,] 2 2 109.65180 65.83982
## [222,] 1 1 130.15690 65.77288
## [223,] 1 2 137.11140 71.14106
## [224,] 1 1 113.75900 67.83055
## [225,] 2 2 114.97250 65.06930
## [226,] 2 2 127.71490 69.70745
## [227,] 1 1 121.99720 69.92983
## [228,] 2 1 117.96070 66.11569
## [229,] 1 2 127.71410 68.61364
## [230,] 2 2 117.96190 68.99760
## [231,] 2 2 125.15540 66.79171
## [232,] 1 2 141.10260 68.02363
## [233,] 2 2 145.48220 69.67258
## [234,] 1 1 116.06500 71.82178
## [235,] 1 1 135.74580 72.74676
## [236,] 2 1 132.92480 67.27951
## [237,] 1 2 115.66220 67.41015
## [238,] 2 2 114.31840 68.53150
## [239,] 1 2 148.95200 68.47126
## [240,] 2 1 142.18780 68.51867
## [241,] 1 1 134.10400 63.72529
## [242,] 1 2 141.89260 67.70483
## [243,] 2 2 138.74440 69.47115
## [244,] 2 1 134.44900 66.70198
## [245,] 1 2 117.01670 65.23126
## [246,] 1 2 115.67520 69.89473
## [247,] 2 2 134.79050 69.83048
## [248,] 1 1 120.57460 65.39790
## [249,] 1 1 120.08350 68.32214
## [250,] 1 1 84.35980 65.93895
## [251,] 2 1 138.93940 70.09805
## [252,] 2 2 143.52450 66.05531
## [253,] 2 2 123.13470 68.23481
## [254,] 2 1 115.52610 65.21758
## [255,] 1 2 120.98440 69.16173
## [256,] 2 1 120.64730 67.60064
## [257,] 1 2 124.03520 67.28621
## [258,] 1 2 117.22380 66.84323
## [259,] 1 2 127.95980 68.08281
## [260,] 2 1 116.75270 66.56991
## [261,] 1 1 121.99570 70.16973
## [262,] 1 2 123.99520 67.85113
## [263,] 1 1 108.85500 66.62309
## [264,] 1 1 104.65740 63.68816
## [265,] 1 2 132.24800 68.03560
## [266,] 2 1 127.18340 66.94100
## [267,] 1 1 125.12090 66.26292
## [268,] 2 2 133.32200 70.73010
## [269,] 2 1 122.33640 70.70844
## [270,] 1 2 130.26360 73.26872
## [271,] 1 1 116.74310 63.79021
## [272,] 1 2 125.85340 67.84109
## [273,] 1 2 100.62700 67.78058
## [274,] 2 1 118.49450 67.23901
## [275,] 1 2 137.12550 66.75701
## [276,] 2 2 118.69910 69.03098
## [277,] 1 1 124.16410 68.52652
## [278,] 1 1 124.94420 64.65419
## [279,] 2 1 126.38890 65.14295
## [280,] 2 1 121.52550 66.74124
## [281,] 1 1 133.29510 66.99923
## [282,] 1 2 127.40720 70.26611
## [283,] 2 2 125.08000 67.57666
## [284,] 2 2 102.81140 66.30582
## [285,] 2 2 134.22120 68.90702
## [286,] 2 1 100.97580 65.60543
## [287,] 1 1 145.88860 68.00189
## [288,] 2 1 155.30460 69.93715
## [289,] 2 1 138.71750 70.14590
## [290,] 1 1 116.26110 66.66364
## [291,] 1 2 120.60870 69.40676
## [292,] 2 2 114.40830 66.80598
## [293,] 2 1 133.34060 67.70048
## [294,] 1 2 92.74955 69.13438
## [295,] 1 2 131.78250 67.53769
## [296,] 2 2 118.38650 65.77912
## [297,] 1 1 131.14660 66.25769
## [298,] 1 1 130.20330 67.39038
## [299,] 1 2 129.18360 64.94327
## [300,] 2 1 143.14450 69.25699
## [301,] 2 2 138.73070 69.07739
## [302,] 2 2 130.95280 69.64403
## [303,] 2 1 124.30320 69.07705
## [304,] 1 2 135.37020 68.01304
## [305,] 2 1 124.19880 68.85664
## [306,] 1 2 111.23890 63.19158
## [307,] 1 2 129.40370 65.57591
## [308,] 1 2 127.74440 69.12101
## [309,] 2 1 121.33110 69.78765
drop(scale(new_cancer,center=center, scale=scale)%*%cancer_pca$rotation[,1])
## [1] -0.646329947 -0.610508061 -0.749550736 1.096019632 0.036188930
## [6] -0.532567242 -2.543550172 2.572207921 1.272938608 1.396823254
## [11] 2.064989024 -3.094017924 0.217887666 -3.138457875 -2.644849262
## [16] 1.650628200 -2.832351242 1.926614145 2.058726013 0.277622753
## [21] 3.229605844 1.856494117 -0.050480044 -3.114648178 0.277610744
## [26] -0.593103049 0.798726715 -1.483179713 1.135171580 -1.513992882
## [31] 1.249804903 -1.015659657 1.959456710 2.332965976 1.785139801
## [36] 2.803119610 -0.906183428 0.625607571 -0.980782008 -2.531034433
## [41] -1.849943675 -0.768929068 1.593703995 -1.913272210 1.543800949
## [46] 0.292377930 -0.251600030 0.254838293 0.179367433 0.952911843
## [51] -0.851848170 0.301087025 -0.906545994 -1.669956979 0.195017025
## [56] 0.200650077 0.518073225 -1.831824121 0.685756178 -0.498748639
## [61] -0.851501742 1.671406217 -1.102287719 0.487489582 -1.821523333
## [66] 1.890194887 -0.908993115 -2.188253111 1.922127515 1.831473258
## [71] 1.111645609 1.972055116 -3.014541351 0.297544932 -3.123513629
## [76] -2.175119346 0.988165063 -3.171148404 1.909872378 1.884232732
## [81] 0.148410514 3.159260208 1.589202745 -0.735262114 -2.492696658
## [86] 0.164831585 -0.791080564 1.019972886 1.355490521 -0.217694604
## [91] 0.200980870 -1.224091912 -1.377079915 1.105509567 -1.763739245
## [96] 2.144246653 -0.247301899 -0.943580309 1.434728986 -3.084789560
## [101] -2.211988131 0.934186102 -3.134406710 1.829037095 1.889637650
## [106] 0.304495611 3.150251750 1.504721972 -0.513569276 -2.049787993
## [111] -0.548863117 0.137370850 -0.769133382 1.052948611 -0.832893079
## [116] -0.521560718 -2.590558669 2.565856126 1.890132650 1.809485293
## [121] 1.154753405 -3.068643554 0.603092803 -0.262265717 -2.166676433
## [126] 1.396820173 -2.621538470 1.904628487 2.449232521 0.346806820
## [131] 3.029389183 1.929414827 -0.087138867 -3.286936885 -0.243063096
## [136] -0.885383059 0.779845934 -1.475619881 1.315156524 -1.435594309
## [141] 0.311554205 -1.898169897 1.817982682 1.132188201 1.041211639
## [146] 1.911956582 -2.208254898 0.199618587 -3.151824202 -2.581152399
## [151] -1.821212050 -0.709027954 1.527353442 0.134446169 2.379419131
## [156] 1.816004356 0.693446059 1.637082331 0.296933463 0.822754284
## [161] -0.918911402 0.231900961 -1.013939681 -1.772694007 0.113097963
## [166] 0.075576812 0.477358107 -1.789229364 0.719595969 -0.479345237
## [171] -0.706487604 1.659264316 -1.053631487 0.439619994 -1.736485551
## [176] 1.908193822 -1.025193951 -2.229264288 1.957225328 1.838526733
## [181] 1.180112751 1.811861750 -3.110670459 0.360229263 -3.223541067
## [186] -2.269746579 2.747577269 -0.149697264 2.400777592 2.664155409
## [191] 0.613534144 2.833005133 3.117056920 1.396552964 -2.512642306
## [196] 0.041302770 -0.813244847 0.986709032 1.252252204 -0.137885258
## [201] 0.136542296 -1.270419897 -1.511779573 1.085397022 -1.937338444
## [206] 2.079880884 -0.238660237 -0.159651843 1.500566250 -3.014209221
## [211] -2.105058072 0.942418911 -3.148924082 1.878394695 1.966715740
## [216] 0.277041266 3.171498795 1.556928786 -0.616500433 -2.586211894
## [221] 0.137716815 0.865093182 -0.913971012 0.313977949 -1.072776501
## [226] -1.699472023 0.251825578 0.014567830 0.504752774 -1.698692239
## [231] 0.558690456 -0.464475998 -0.736607022 1.791907070 -1.021622690
## [236] 0.511871527 -1.857682768 1.973432877 -0.844025398 1.798603632
## [241] 0.567970913 -3.128591618 0.921300172 -0.707766669 0.727027732
## [246] -0.813209418 1.137562086 -1.568549443 0.206337661 0.582400965
## [251] 1.852485410 1.069824793 1.320083419 1.826416008 -2.295131492
## [256] 0.184324517 -3.143108851 -2.658851944 -1.871308247 -0.711591973
## [261] 1.686997211 -1.858110215 -0.009983675 -0.640492349 -2.667743902
## [266] 2.455060778 1.289042304 1.464834078 2.198079582 -2.876746306
## [271] 0.060055521 -3.142504794 -2.634807935 1.505301199 -2.740709424
## [276] 1.905774831 2.017633169 0.099735552 3.015656624 1.825438683
## [281] -0.131569292 -1.322834911 1.736775731 -0.592930367 1.928894090
## [286] 2.367428208 0.290098251 3.070879292 1.901858849 -0.148458186
## [291] -3.160670480 -0.350752444 -0.898366238 0.861502720 -1.473211209
## [296] 1.111453285 -1.529405423 0.258107397 -1.904656129 1.848956846
## [301] 1.150509115 1.152918867 1.932277477 -2.222289178 0.309135098
## [306] -3.290318919 -2.664442991 -1.831829290 -0.648431973
predict(cancer_pca)[,1]
## [1] -0.646329947 -0.610508061 -0.749550736 1.096019632 0.036188930
## [6] -0.532567242 -2.543550172 2.572207921 1.272938608 1.396823254
## [11] 2.064989024 -3.094017924 0.217887666 -3.138457875 -2.644849262
## [16] 1.650628200 -2.832351242 1.926614145 2.058726013 0.277622753
## [21] 3.229605844 1.856494117 -0.050480044 -3.114648178 0.277610744
## [26] -0.593103049 0.798726715 -1.483179713 1.135171580 -1.513992882
## [31] 1.249804903 -1.015659657 1.959456710 2.332965976 1.785139801
## [36] 2.803119610 -0.906183428 0.625607571 -0.980782008 -2.531034433
## [41] -1.849943675 -0.768929068 1.593703995 -1.913272210 1.543800949
## [46] 0.292377930 -0.251600030 0.254838293 0.179367433 0.952911843
## [51] -0.851848170 0.301087025 -0.906545994 -1.669956979 0.195017025
## [56] 0.200650077 0.518073225 -1.831824121 0.685756178 -0.498748639
## [61] -0.851501742 1.671406217 -1.102287719 0.487489582 -1.821523333
## [66] 1.890194887 -0.908993115 -2.188253111 1.922127515 1.831473258
## [71] 1.111645609 1.972055116 -3.014541351 0.297544932 -3.123513629
## [76] -2.175119346 0.988165063 -3.171148404 1.909872378 1.884232732
## [81] 0.148410514 3.159260208 1.589202745 -0.735262114 -2.492696658
## [86] 0.164831585 -0.791080564 1.019972886 1.355490521 -0.217694604
## [91] 0.200980870 -1.224091912 -1.377079915 1.105509567 -1.763739245
## [96] 2.144246653 -0.247301899 -0.943580309 1.434728986 -3.084789560
## [101] -2.211988131 0.934186102 -3.134406710 1.829037095 1.889637650
## [106] 0.304495611 3.150251750 1.504721972 -0.513569276 -2.049787993
## [111] -0.548863117 0.137370850 -0.769133382 1.052948611 -0.832893079
## [116] -0.521560718 -2.590558669 2.565856126 1.890132650 1.809485293
## [121] 1.154753405 -3.068643554 0.603092803 -0.262265717 -2.166676433
## [126] 1.396820173 -2.621538470 1.904628487 2.449232521 0.346806820
## [131] 3.029389183 1.929414827 -0.087138867 -3.286936885 -0.243063096
## [136] -0.885383059 0.779845934 -1.475619881 1.315156524 -1.435594309
## [141] 0.311554205 -1.898169897 1.817982682 1.132188201 1.041211639
## [146] 1.911956582 -2.208254898 0.199618587 -3.151824202 -2.581152399
## [151] -1.821212050 -0.709027954 1.527353442 0.134446169 2.379419131
## [156] 1.816004356 0.693446059 1.637082331 0.296933463 0.822754284
## [161] -0.918911402 0.231900961 -1.013939681 -1.772694007 0.113097963
## [166] 0.075576812 0.477358107 -1.789229364 0.719595969 -0.479345237
## [171] -0.706487604 1.659264316 -1.053631487 0.439619994 -1.736485551
## [176] 1.908193822 -1.025193951 -2.229264288 1.957225328 1.838526733
## [181] 1.180112751 1.811861750 -3.110670459 0.360229263 -3.223541067
## [186] -2.269746579 2.747577269 -0.149697264 2.400777592 2.664155409
## [191] 0.613534144 2.833005133 3.117056920 1.396552964 -2.512642306
## [196] 0.041302770 -0.813244847 0.986709032 1.252252204 -0.137885258
## [201] 0.136542296 -1.270419897 -1.511779573 1.085397022 -1.937338444
## [206] 2.079880884 -0.238660237 -0.159651843 1.500566250 -3.014209221
## [211] -2.105058072 0.942418911 -3.148924082 1.878394695 1.966715740
## [216] 0.277041266 3.171498795 1.556928786 -0.616500433 -2.586211894
## [221] 0.137716815 0.865093182 -0.913971012 0.313977949 -1.072776501
## [226] -1.699472023 0.251825578 0.014567830 0.504752774 -1.698692239
## [231] 0.558690456 -0.464475998 -0.736607022 1.791907070 -1.021622690
## [236] 0.511871527 -1.857682768 1.973432877 -0.844025398 1.798603632
## [241] 0.567970913 -3.128591618 0.921300172 -0.707766669 0.727027732
## [246] -0.813209418 1.137562086 -1.568549443 0.206337661 0.582400965
## [251] 1.852485410 1.069824793 1.320083419 1.826416008 -2.295131492
## [256] 0.184324517 -3.143108851 -2.658851944 -1.871308247 -0.711591973
## [261] 1.686997211 -1.858110215 -0.009983675 -0.640492349 -2.667743902
## [266] 2.455060778 1.289042304 1.464834078 2.198079582 -2.876746306
## [271] 0.060055521 -3.142504794 -2.634807935 1.505301199 -2.740709424
## [276] 1.905774831 2.017633169 0.099735552 3.015656624 1.825438683
## [281] -0.131569292 -1.322834911 1.736775731 -0.592930367 1.928894090
## [286] 2.367428208 0.290098251 3.070879292 1.901858849 -0.148458186
## [291] -3.160670480 -0.350752444 -0.898366238 0.861502720 -1.473211209
## [296] 1.111453285 -1.529405423 0.258107397 -1.904656129 1.848956846
## [301] 1.150509115 1.152918867 1.932277477 -2.222289178 0.309135098
## [306] -3.290318919 -2.664442991 -1.831829290 -0.648431973
#The aboved two gives us the same thing. predict is a good function to know.
cancer$LUNG_CANCER <- as.factor(cancer$LUNG_CANCER)
out <- sapply(1:5, function(i){plot(cancer$LUNG_CANCER,cancer_pca$x[,i],xlab=paste("PC",i,sep=""),ylab="LUNG CANCER")})
pairs(cancer_pca$x[,1:5], ylim = c(-6,4),xlim = c(-6,4),panel=function(x,y,...){text(x,y,cancer$LUNG_CANCER)})
# Better Ways to Visualize
library(factoextra)
## Welcome! Want to learn more? See two factoextra-related books at https://goo.gl/ve3WBa
library(FactoMineR)
library(ggfortify)
library(psych)
##
## Attaching package: 'psych'
##
## The following object is masked from 'package:car':
##
## logit
##
## The following objects are masked from 'package:ggplot2':
##
## %+%, alpha
library(corrplot)
## corrplot 0.92 loaded
library(devtools)
## Loading required package: usethis
# Correlation
pairs.panels(cancer[,-1],
gap = 0,
bg = c("red", "blue")[cancer$LUNG_CANCER],
pch=21)
pairs.panels(cancer_pca$x,
gap=0,
bg = c("red", "blue")[cancer$LUNG_CANCER],
pch=21)
fviz_eig(cancer_pca, addlabels = TRUE)
fviz_pca_var(cancer_pca,col.var = "cos2",
gradient.cols = c("#FFCC00", "#CC9933", "#660033", "#330033"),
repel = TRUE)
fviz_pca_ind(cancer_pca, col.ind = "cos2",
gradient.cols = c("#FFCC00", "#CC9933", "#660033", "#330033"),
repel = TRUE)
biplot(cancer_pca)
autoplot(cancer_pca,
data = cancer[,-1],
loadings = TRUE,
labels = cancer$LUNG_CANCER)
# Different PCA Method.
res.pca <- PCA(cancer[,-1], graph = FALSE)
print(res.pca)
## **Results for the Principal Component Analysis (PCA)**
## The analysis was performed on 309 individuals, described by 17 variables
## *The results are available in the following objects:
##
## name description
## 1 "$eig" "eigenvalues"
## 2 "$var" "results for the variables"
## 3 "$var$coord" "coord. for the variables"
## 4 "$var$cor" "correlations variables - dimensions"
## 5 "$var$cos2" "cos2 for the variables"
## 6 "$var$contrib" "contributions of the variables"
## 7 "$ind" "results for the individuals"
## 8 "$ind$coord" "coord. for the individuals"
## 9 "$ind$cos2" "cos2 for the individuals"
## 10 "$ind$contrib" "contributions of the individuals"
## 11 "$call" "summary statistics"
## 12 "$call$centre" "mean of the variables"
## 13 "$call$ecart.type" "standard error of the variables"
## 14 "$call$row.w" "weights for the individuals"
## 15 "$call$col.w" "weights for the variables"
# Visualize and Interpret PCA using these functions
#get_eigenvalue(res.pca): Extract the eigenvalues/variances of principal components
#fviz_eig(res.pca): Visualize the eigenvalues
#get_pca_ind(res.pca), get_pca_var(res.pca): Extract the results for individuals and variables, respectively.
#fviz_pca_ind(res.pca), fviz_pca_var(res.pca): Visualize the results individuals and variables, respectively.
#fviz_pca_biplot(res.pca): Make a biplot of individuals and variables.
eig.val <- get_eigenvalue(res.pca)
eig.val
## eigenvalue variance.percent cumulative.variance.percent
## Dim.1 2.8645733 16.850431 16.85043
## Dim.2 1.9575778 11.515164 28.36559
## Dim.3 1.6886084 9.932991 38.29859
## Dim.4 1.4725468 8.662040 46.96063
## Dim.5 1.3035915 7.668185 54.62881
## Dim.6 1.0719035 6.305315 60.93413
## Dim.7 0.9543405 5.613767 66.54789
## Dim.8 0.8911585 5.242109 71.79000
## Dim.9 0.8156856 4.798150 76.58815
## Dim.10 0.7144905 4.202885 80.79104
## Dim.11 0.6332509 3.725005 84.51604
## Dim.12 0.5858596 3.446233 87.96228
## Dim.13 0.5307591 3.122113 91.08439
## Dim.14 0.5162084 3.036520 94.12091
## Dim.15 0.4035160 2.373623 96.49453
## Dim.16 0.3189926 1.876427 98.37096
## Dim.17 0.2769370 1.629041 100.00000
fviz_eig(res.pca, addlabels = TRUE, ylim = c(0, 20))
var <- get_pca_var(res.pca)
#var$coord: coordinates of variables to create a scatter plot
#var$cos2: represents the quality of representation for variables on the factor map. It’s calculated as the squared coordinates: var.cos2 = var.coord * var.coord.
#var$contrib: contains the contributions (in percentage) of the variables to the principal components.
#The contribution of a variable (var) to a given principal component is (in percentage) : (var.cos2 * 100) / (total cos2 of the component).
var
## Principal Component Analysis Results for variables
## ===================================================
## Name Description
## 1 "$coord" "Coordinates for the variables"
## 2 "$cor" "Correlations between variables and dimensions"
## 3 "$cos2" "Cos2 for the variables"
## 4 "$contrib" "contributions of the variables"
# Coordinates
head(var$coord)
## Dim.1 Dim.2 Dim.3 Dim.4 Dim.5
## GENDER 0.54337453 -0.401383018 0.22584419 -0.08782501 -0.22918608
## AGE -0.06171712 0.043087109 0.06093188 0.33908718 -0.38576562
## SMOKING 0.07282569 -0.004791661 -0.41020928 0.13047242 0.60218404
## YELLOW_FINGERS 0.64565002 0.179236082 0.18001531 0.35663511 0.02774191
## ANXIETY 0.68264262 0.287582941 -0.09705991 0.31930178 0.16216833
## PEER_PRESSURE 0.51943757 0.148012887 0.28997708 0.18320288 -0.11267604
# Cos2: quality on the factore map
head(var$cos2)
## Dim.1 Dim.2 Dim.3 Dim.4 Dim.5
## GENDER 0.295255880 1.611083e-01 0.051005598 0.007713232 0.0525262604
## AGE 0.003809003 1.856499e-03 0.003712695 0.114980115 0.1488151100
## SMOKING 0.005303581 2.296001e-05 0.168271650 0.017023053 0.3626256187
## YELLOW_FINGERS 0.416863951 3.212557e-02 0.032405511 0.127188604 0.0007696138
## ANXIETY 0.466000950 8.270395e-02 0.009420625 0.101953627 0.0262985688
## PEER_PRESSURE 0.269815388 2.190781e-02 0.084086710 0.033563294 0.0126958890
# Contributions to the principal components
head(var$contrib)
## Dim.1 Dim.2 Dim.3 Dim.4 Dim.5
## GENDER 10.3071504 8.229983180 3.0205699 0.5238021 4.02934983
## AGE 0.1329693 0.094836534 0.2198671 7.8082484 11.41577820
## SMOKING 0.1851438 0.001172879 9.9651079 1.1560279 27.81742815
## YELLOW_FINGERS 14.5523925 1.641087911 1.9190660 8.6373214 0.05903796
## ANXIETY 16.2677265 4.224810195 0.5578928 6.9236254 2.01739345
## PEER_PRESSURE 9.4190429 1.119128659 4.9796453 2.2792684 0.97391624
#The plot Below is also known as variable correlation plots. It shows the relationships between all variables. It can be interpreted as follow:
#Positively correlated variables are grouped together.
#Negatively correlated variables are positioned on opposite sides of the plot origin (opposed quadrants).
#The distance between variables and the origin measures the quality of the variables on the factor map.
#Variables that are away from the origin are well represented on the factor map.
# Correlation circle
fviz_pca_var(res.pca, col.var = "black")
# Quality of representation
corrplot(var$cos2, is.corr=FALSE)
# Total cos2 of variables on Dim.1 and Dim.2
#A high cos2 indicates a good representation of the variable on the principal component.
#In this case the variable is positioned close to the circumference of the correlation circle.
#A low cos2 indicates that the variable is not perfectly represented by the PCs.
#In this case the variable is close to the center of the circle.
fviz_cos2(res.pca, choice = "var", axes = 1:2)
fviz_pca_var(res.pca, col.var = "cos2",
gradient.cols = c("#00AFBB", "#E7B800", "#FC4E07"),
repel = TRUE # Avoid text overlapping
)
# Change the transparency by cos2 values
fviz_pca_var(res.pca, alpha.var = "cos2")
corrplot(var$contrib, is.corr=FALSE)
# Contributions of variables to PC1
fviz_contrib(res.pca, choice = "var", axes = 1, top = 10)
# Contributions of variables to PC2
fviz_contrib(res.pca, choice = "var", axes = 2, top = 10)
fviz_pca_var(res.pca, col.var = "contrib",
gradient.cols = c("#00AFBB", "#E7B800", "#FC4E07")
)
fviz_pca_var(res.pca, alpha.var = "contrib")
fviz_pca_ind(res.pca,
geom.ind = "point", # show points only (nbut not "text")
col.ind = cancer$LUNG_CANCER, # color by groups
palette = c("#00AFBB", "#E7B800", "#FC4E07"),
addEllipses = TRUE, # Concentration ellipses
legend.title = "Groups"
)
res.desc <- dimdesc(res.pca, axes = c(1,2,3,4,5), proba = 0.05)
# Description of dimension 1
res.desc$Dim.1
##
## Link between the variable and the continuous variables (R-square)
## =================================================================================
## correlation p.value
## ANXIETY 0.6826426 9.992914e-44
## YELLOW_FINGERS 0.6456500 7.793879e-38
## GENDER 0.5433745 3.912501e-25
## PEER_PRESSURE 0.5194376 9.455303e-23
## SWALLOWING DIFFICULTY 0.4951277 1.623894e-20
## CHRONIC DISEASE 0.1527747 7.135337e-03
## FATIGUE -0.1733971 2.221565e-03
## SHORTNESS OF BREATH -0.2398868 2.024862e-05
## CHEST PAIN -0.3953229 5.311468e-13
## WHEEZING -0.4134128 3.470639e-14
## ALLERGY -0.4220274 8.923819e-15
## COUGHING -0.4725822 1.348181e-18
## ALCOHOL_CONSUMING -0.5621729 3.824073e-27
res.desc$Dim.2
##
## Link between the variable and the continuous variables (R-square)
## =================================================================================
## correlation p.value
## ALCOHOL_CONSUMING 0.5785191 5.342079e-29
## SWALLOWING DIFFICULTY 0.4807769 2.808741e-19
## CHEST PAIN 0.4434148 2.578071e-16
## ALLERGY 0.3353650 1.472853e-09
## ANXIETY 0.2875829 2.691967e-07
## HEIGHT_INCH 0.2175340 1.158899e-04
## WEIGHT 0.1931578 6.405221e-04
## YELLOW_FINGERS 0.1792361 1.558465e-03
## WHEEZING 0.1742479 2.111133e-03
## PEER_PRESSURE 0.1480129 9.169972e-03
## GENDER -0.4013830 2.169084e-13
## FATIGUE -0.5472676 1.536608e-25
## SHORTNESS OF BREATH -0.5941937 7.055760e-31
res.desc$Dim.3
##
## Link between the variable and the continuous variables (R-square)
## =================================================================================
## correlation p.value
## WEIGHT 0.6461412 6.589488e-38
## HEIGHT_INCH 0.6398804 5.472206e-37
## FATIGUE 0.3896501 1.208269e-12
## WHEEZING 0.3473159 3.451940e-10
## COUGHING 0.3243583 5.309859e-09
## PEER_PRESSURE 0.2899771 2.119051e-07
## SHORTNESS OF BREATH 0.2319069 3.850314e-05
## GENDER 0.2258442 6.181753e-05
## YELLOW_FINGERS 0.1800153 1.485237e-03
## ALLERGY 0.1594644 4.957700e-03
## SWALLOWING DIFFICULTY 0.1540584 6.660851e-03
## CHRONIC DISEASE 0.1373545 1.568564e-02
## SMOKING -0.4102093 5.694847e-14
res.desc$Dim.4
##
## Link between the variable and the continuous variables (R-square)
## =================================================================================
## correlation p.value
## COUGHING 0.5205550 7.388841e-23
## WHEEZING 0.3951798 5.423773e-13
## YELLOW_FINGERS 0.3566351 1.066381e-10
## AGE 0.3390872 9.435755e-10
## ANXIETY 0.3193018 9.409565e-09
## SWALLOWING DIFFICULTY 0.3076735 3.371054e-08
## FATIGUE 0.2442472 1.411838e-05
## SHORTNESS OF BREATH 0.2270468 5.633293e-05
## PEER_PRESSURE 0.1832029 1.217359e-03
## SMOKING 0.1304724 2.178963e-02
## HEIGHT_INCH -0.3386446 9.951940e-10
## CHRONIC DISEASE -0.3910930 9.817881e-13
## WEIGHT -0.4007538 2.382475e-13
res.desc$Dim.5
##
## Link between the variable and the continuous variables (R-square)
## =================================================================================
## correlation p.value
## SMOKING 0.6021840 7.086359e-32
## CHEST PAIN 0.4151692 2.639457e-14
## HEIGHT_INCH 0.3238520 5.625588e-09
## SHORTNESS OF BREATH 0.3005202 7.193577e-08
## FATIGUE 0.2208516 9.042994e-05
## WEIGHT 0.2111866 1.843576e-04
## ANXIETY 0.1621683 4.262561e-03
## PEER_PRESSURE -0.1126760 4.782244e-02
## ALCOHOL_CONSUMING -0.1251900 2.777967e-02
## COUGHING -0.1577799 5.440770e-03
## WHEEZING -0.1739983 2.143002e-03
## GENDER -0.2291861 4.769297e-05
## AGE -0.3857656 2.102151e-12
## CHRONIC DISEASE -0.3920407 8.561877e-13
# Graph of Indiviuals
ind <- get_pca_ind(res.pca)
ind
## Principal Component Analysis Results for individuals
## ===================================================
## Name Description
## 1 "$coord" "Coordinates for the individuals"
## 2 "$cos2" "Cos2 for the individuals"
## 3 "$contrib" "contributions of the individuals"
## Principal Component Analysis Results for individuals
## ===================================================
## Name Description
## 1 "$coord" "Coordinates for the individuals"
## 2 "$cos2" "Cos2 for the individuals"
## 3 "$contrib" "contributions of the individuals"
#To get access to the different components, use this:
# Coordinates of individuals
head(ind$coord)
## Dim.1 Dim.2 Dim.3 Dim.4 Dim.5
## 1 -0.64737833 0.33329155 -0.4434584 2.8638222 -0.1227976
## 2 -0.61149834 0.05895125 0.8401469 -1.6208876 1.6029338
## 3 -0.75076655 -1.50686142 2.6738807 -0.6340301 0.5553223
## 4 1.09779744 2.42412727 -1.3351264 -0.6248942 1.6228276
## 5 0.03624763 -1.47896226 1.0649454 -0.2978817 -0.8789584
## 6 -0.53343110 -1.81965177 1.5974948 0.2958878 -1.9609351
# Quality of individuals
head(ind$cos2)
## Dim.1 Dim.2 Dim.3 Dim.4 Dim.5
## 1 2.672678e-02 0.0070840068 0.01254111 0.523025020 0.000961635
## 2 1.900811e-02 0.0001766584 0.03588053 0.133553139 0.130610912
## 3 2.962666e-02 0.1193491802 0.37580008 0.021129661 0.016209257
## 4 6.837025e-02 0.3333754002 0.10112709 0.022153161 0.149405802
## 5 7.686857e-05 0.1279686979 0.06635050 0.005191314 0.045198729
## 6 1.849176e-02 0.2151781957 0.16584432 0.005689524 0.249889581
# Contributions of individuals
head(ind$contrib)
## Dim.1 Dim.2 Dim.3 Dim.4 Dim.5
## 1 0.0473475926 0.0183641608 0.03768932 1.80245529 0.003743518
## 2 0.0422446921 0.0005745244 0.13527672 0.57740189 0.637868526
## 3 0.0636782930 0.3753782539 1.37023997 0.08834707 0.076557951
## 4 0.1361526223 0.9714787716 0.34163107 0.08581938 0.653799764
## 5 0.0001484365 0.3616068615 0.21735379 0.01950115 0.191794730
## 6 0.0321468366 0.5473927631 0.48909303 0.01924095 0.954611078
fviz_pca_ind(res.pca)
fviz_pca_ind(res.pca, col.ind = "cos2",
gradient.cols = c("#00AFBB", "#E7B800", "#FC4E07"),
repel = TRUE # Avoid text overlapping (slow if many points)
)
fviz_pca_ind(res.pca, pointsize = "cos2",
pointshape = 21, fill = "#E7B800",
repel = TRUE # Avoid text overlapping (slow if many points)
)
fviz_pca_ind(res.pca, col.ind = "cos2", pointsize = "cos2",
gradient.cols = c("#00AFBB", "#E7B800", "#FC4E07"),
repel = TRUE # Avoid text overlapping (slow if many points)
)
fviz_cos2(res.pca, choice = "ind")
# Total contribution on PC1 and PC2
fviz_contrib(res.pca, choice = "ind", axes = 1:2)
# Create a random continuous variable of length 23,
# Same length as the number of active individuals in the PCA
set.seed(123)
my.cont.var <- rnorm(309)
# Color individuals by the continuous variable
fviz_pca_ind(res.pca, col.ind = my.cont.var,
gradient.cols = c("blue", "yellow", "red"),
legend.title = "Cont.Var")
fviz_pca_ind(res.pca,
geom.ind = "point", # show points only (nbut not "text")
col.ind = cancer$LUNG_CANCER, # color by groups
palette = c("#00AFBB", "#E7B800", "#FC4E07"),
addEllipses = TRUE, # Concentration ellipses
legend.title = "Groups"
)
fviz_pca_ind(res.pca, geom.ind = "point", col.ind = cancer$LUNG_CANCER,
palette = c("#00AFBB", "#E7B800", "#FC4E07"),
addEllipses = TRUE, ellipse.type = "confidence",
legend.title = "Groups"
)
fviz_pca_ind(res.pca,
label = "none", # hide individual labels
habillage = cancer$LUNG_CANCER, # color by groups
addEllipses = TRUE, # Concentration ellipses
palette = "jco"
)
fviz_pca_var(res.pca, geom.var = c("point", "text"))
# Show individuals text labels only
fviz_pca_ind(res.pca, geom.ind = "text")
# Change the size of arrows an labels
fviz_pca_var(res.pca, arrowsize = 1, labelsize = 5,
repel = TRUE)
# Change points size, shape and fill color
# Change labelsize
fviz_pca_ind(res.pca,
pointsize = 3, pointshape = 21, fill = "lightblue",
labelsize = 5, repel = TRUE)
fviz_pca_ind(res.pca,
geom.ind = "point", # show points only (but not "text")
group.ind = cancer$LUNG_CANCER, # color by groups
legend.title = "Groups",
mean.point = FALSE)
fviz_pca_ind(res.pca,
geom.ind = "point", # show points only (but not "text")
group.ind = cancer$LUNG_CANCER, # color by groups
legend.title = "Groups",
mean.point = TRUE)
fviz_pca_var(res.pca, axes.linetype = "blank")
ind.p <- fviz_pca_ind(res.pca, geom = "point", col.ind = cancer$LUNG_CANCER)
ggpubr::ggpar(ind.p,
title = "Principal Component Analysis",
subtitle = "Iris data set",
caption = "Source: factoextra",
xlab = "PC1", ylab = "PC2",
legend.title = "LUNG CANCER", legend.position = "top",
ggtheme = theme_gray(), palette = "jco"
)
fviz_pca_biplot(res.pca, repel = TRUE,col.ind = cancer$LUNG_CANCER,
col.var = "#2E9FDF", # Variables color
)
fviz_pca_biplot(res.pca,
col.ind = cancer$LUNG_CANCER, palette = "jco",
addEllipses = TRUE, label = "var",
col.var = "black", repel = TRUE,
legend.title = "LUNG CANCER")
fviz_pca_biplot(res.pca,
# Fill individuals by groups
geom.ind = "point",
pointshape = 21,
pointsize = 2.5,
fill.ind = cancer$LUNG_CANCER,
col.ind = "black",
# Color variable by groups
legend.title = list(fill = "LUNG CANCER", color = "Clusters"),
repel = TRUE # Avoid label overplotting
)+
ggpubr::fill_palette("jco")+ # Indiviual fill color
ggpubr::color_palette("npg") # Variable colors
fviz_pca_biplot(res.pca,
# Individuals
geom.ind = "point",
fill.ind = cancer$LUNG_CANCER, col.ind = "black",
pointshape = 21, pointsize = 2,
palette = "jco",
addEllipses = TRUE,
# Variables
alpha.var ="contrib", col.var = "contrib",
gradient.cols = "RdYlBu",
legend.title = list(fill = "LUNG CANCER", color = "Contrib",
alpha = "Contrib")
)
